Varifold (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Varifold" in English language version.

Last modified: 08:53:32, 6 October 2025 (UTC)

Ref.Un. Ref.Website

Global rank English rank

33ams.org

434^th place

249^th place

22zbmath.org

2,089^th place

1,141^st place

11worldcat.org

4^th place

11psu.edu

299^th place

159^th place

11doi.org

2^nd place

11semanticscholar.org

15^th place

8^th place

11brown.edu

2,455^th place

1,451^st place

11web.archive.org

1^st place

11mathunion.org

8,098^th place

7,004^th place

ams.org (Global: 434^th place; English: 249^th place)

mathscinet.ams.org

In his commemorative papers describing the research of Frederick Almgren, Brian White (1997, p.1452, footnote 1, 1998, p.682, footnote 1) writes that these are "essentially the same class of surfaces". White, Brian (1997), "The Mathematics of F. J. Almgren Jr.", Notices of the American Mathematical Society, 44 (11): 1451–1456, ISSN 0002-9920, MR 1488574, Zbl 0908.01017. White, Brian (1998), "The mathematics of F. J. Almgren, Jr.", The Journal of Geometric Analysis, 8 (5): 681–702, CiteSeerX 10.1.1.120.4639, doi:10.1007/BF02922665, ISSN 1050-6926, MR 1731057, S2CID 122083638, Zbl 0955.01020 {{citation}}: Cite uses deprecated parameter |citeseerx= (help). An extended version of (White 1997) with a list of Almgren's publications.
The first widely circulated exposition of Almgren's ideas is the book (Almgren 1966): however, the first systematic exposition of the theory is contained in the mimeographed notes (Almgren 1965), which had a far lower circulation, even if it is cited in Herbert Federer's classic text on geometric measure theory. See also the brief, clear survey by Ennio De Giorgi (1968). Almgren, Frederick J. Jr. (1966), Plateau's Problem: An Invitation to Varifold Geometry, Mathematics Monographs Series (1st ed.), New York–Amsterdam: W. A. Benjamin, Inc., pp. XII+74, MR 0190856, Zbl 0165.13201. The first widely circulated book describing the concept of a varifold. In chapter 4 is a section titled "A solution to the existence portion of Plateau's problem" but the stationary varifolds used in this section can only solve a greatly simplified version of the problem. For example, the only stationary varifolds containing the unit circle have support the unit disk. In 1968 Almgren used a combination of varifolds, integral currents, flat chains and Reifenberg's methods in an attempt to extend Reifenberg's celebrated 1960 paper to elliptic integrands. However, there are serious errors in his proof. A different approach to the Reifenberg problem for elliptic integrands has been recently provided by Harrison and Pugh (HarrisonPugh 2016) without using varifolds. De Giorgi, Ennio (1968), "Hypersurfaces of minimal measure in pluridimensional euclidean spaces", in Petrovsky, Ivan G. (ed.), Trudy Mezhdunarodnogo kongressa matematikov. Proceedings of International Congress of Mathematicians (Moscow−1966), ICM Proceedings, Moscow: Mir Publishers, pp. 395−401, MR 0234329, Zbl 0188.17503, archived from the original (PDF) on 2015-07-06, retrieved 2011-07-18.

ams.org

In his commemorative papers describing the research of Frederick Almgren, Brian White (1997, p.1452, footnote 1, 1998, p.682, footnote 1) writes that these are "essentially the same class of surfaces". White, Brian (1997), "The Mathematics of F. J. Almgren Jr.", Notices of the American Mathematical Society, 44 (11): 1451–1456, ISSN 0002-9920, MR 1488574, Zbl 0908.01017. White, Brian (1998), "The mathematics of F. J. Almgren, Jr.", The Journal of Geometric Analysis, 8 (5): 681–702, CiteSeerX 10.1.1.120.4639, doi:10.1007/BF02922665, ISSN 1050-6926, MR 1731057, S2CID 122083638, Zbl 0955.01020 {{citation}}: Cite uses deprecated parameter |citeseerx= (help). An extended version of (White 1997) with a list of Almgren's publications.

brown.edu (Global: 2,455^th place; English: 1,451^st place)

dam.brown.edu

See also the 2015 unpublished essay of Wendell Fleming.

doi.org (Global: 2^nd place; English: 2^nd place)

In his commemorative papers describing the research of Frederick Almgren, Brian White (1997, p.1452, footnote 1, 1998, p.682, footnote 1) writes that these are "essentially the same class of surfaces". White, Brian (1997), "The Mathematics of F. J. Almgren Jr.", Notices of the American Mathematical Society, 44 (11): 1451–1456, ISSN 0002-9920, MR 1488574, Zbl 0908.01017. White, Brian (1998), "The mathematics of F. J. Almgren, Jr.", The Journal of Geometric Analysis, 8 (5): 681–702, CiteSeerX 10.1.1.120.4639, doi:10.1007/BF02922665, ISSN 1050-6926, MR 1731057, S2CID 122083638, Zbl 0955.01020 {{citation}}: Cite uses deprecated parameter |citeseerx= (help). An extended version of (White 1997) with a list of Almgren's publications.

mathunion.org (Global: 8,098^th place; English: 7,004^th place)

The first widely circulated exposition of Almgren's ideas is the book (Almgren 1966): however, the first systematic exposition of the theory is contained in the mimeographed notes (Almgren 1965), which had a far lower circulation, even if it is cited in Herbert Federer's classic text on geometric measure theory. See also the brief, clear survey by Ennio De Giorgi (1968). Almgren, Frederick J. Jr. (1966), Plateau's Problem: An Invitation to Varifold Geometry, Mathematics Monographs Series (1st ed.), New York–Amsterdam: W. A. Benjamin, Inc., pp. XII+74, MR 0190856, Zbl 0165.13201. The first widely circulated book describing the concept of a varifold. In chapter 4 is a section titled "A solution to the existence portion of Plateau's problem" but the stationary varifolds used in this section can only solve a greatly simplified version of the problem. For example, the only stationary varifolds containing the unit circle have support the unit disk. In 1968 Almgren used a combination of varifolds, integral currents, flat chains and Reifenberg's methods in an attempt to extend Reifenberg's celebrated 1960 paper to elliptic integrands. However, there are serious errors in his proof. A different approach to the Reifenberg problem for elliptic integrands has been recently provided by Harrison and Pugh (HarrisonPugh 2016) without using varifolds. De Giorgi, Ennio (1968), "Hypersurfaces of minimal measure in pluridimensional euclidean spaces", in Petrovsky, Ivan G. (ed.), Trudy Mezhdunarodnogo kongressa matematikov. Proceedings of International Congress of Mathematicians (Moscow−1966), ICM Proceedings, Moscow: Mir Publishers, pp. 395−401, MR 0234329, Zbl 0188.17503, archived from the original (PDF) on 2015-07-06, retrieved 2011-07-18.

psu.edu (Global: 299^th place; English: 159^th place)

citeseerx.ist.psu.edu

In his commemorative papers describing the research of Frederick Almgren, Brian White (1997, p.1452, footnote 1, 1998, p.682, footnote 1) writes that these are "essentially the same class of surfaces". White, Brian (1997), "The Mathematics of F. J. Almgren Jr.", Notices of the American Mathematical Society, 44 (11): 1451–1456, ISSN 0002-9920, MR 1488574, Zbl 0908.01017. White, Brian (1998), "The mathematics of F. J. Almgren, Jr.", The Journal of Geometric Analysis, 8 (5): 681–702, CiteSeerX 10.1.1.120.4639, doi:10.1007/BF02922665, ISSN 1050-6926, MR 1731057, S2CID 122083638, Zbl 0955.01020 {{citation}}: Cite uses deprecated parameter |citeseerx= (help). An extended version of (White 1997) with a list of Almgren's publications.

semanticscholar.org (Global: 15^th place; English: 8^th place)

api.semanticscholar.org

In his commemorative papers describing the research of Frederick Almgren, Brian White (1997, p.1452, footnote 1, 1998, p.682, footnote 1) writes that these are "essentially the same class of surfaces". White, Brian (1997), "The Mathematics of F. J. Almgren Jr.", Notices of the American Mathematical Society, 44 (11): 1451–1456, ISSN 0002-9920, MR 1488574, Zbl 0908.01017. White, Brian (1998), "The mathematics of F. J. Almgren, Jr.", The Journal of Geometric Analysis, 8 (5): 681–702, CiteSeerX 10.1.1.120.4639, doi:10.1007/BF02922665, ISSN 1050-6926, MR 1731057, S2CID 122083638, Zbl 0955.01020 {{citation}}: Cite uses deprecated parameter |citeseerx= (help). An extended version of (White 1997) with a list of Almgren's publications.

web.archive.org (Global: 1^st place; English: 1^st place)

The first widely circulated exposition of Almgren's ideas is the book (Almgren 1966): however, the first systematic exposition of the theory is contained in the mimeographed notes (Almgren 1965), which had a far lower circulation, even if it is cited in Herbert Federer's classic text on geometric measure theory. See also the brief, clear survey by Ennio De Giorgi (1968). Almgren, Frederick J. Jr. (1966), Plateau's Problem: An Invitation to Varifold Geometry, Mathematics Monographs Series (1st ed.), New York–Amsterdam: W. A. Benjamin, Inc., pp. XII+74, MR 0190856, Zbl 0165.13201. The first widely circulated book describing the concept of a varifold. In chapter 4 is a section titled "A solution to the existence portion of Plateau's problem" but the stationary varifolds used in this section can only solve a greatly simplified version of the problem. For example, the only stationary varifolds containing the unit circle have support the unit disk. In 1968 Almgren used a combination of varifolds, integral currents, flat chains and Reifenberg's methods in an attempt to extend Reifenberg's celebrated 1960 paper to elliptic integrands. However, there are serious errors in his proof. A different approach to the Reifenberg problem for elliptic integrands has been recently provided by Harrison and Pugh (HarrisonPugh 2016) without using varifolds. De Giorgi, Ennio (1968), "Hypersurfaces of minimal measure in pluridimensional euclidean spaces", in Petrovsky, Ivan G. (ed.), Trudy Mezhdunarodnogo kongressa matematikov. Proceedings of International Congress of Mathematicians (Moscow−1966), ICM Proceedings, Moscow: Mir Publishers, pp. 395−401, MR 0234329, Zbl 0188.17503, archived from the original (PDF) on 2015-07-06, retrieved 2011-07-18.

worldcat.org (Global: 4^th place; English: 4^th place)

search.worldcat.org

In his commemorative papers describing the research of Frederick Almgren, Brian White (1997, p.1452, footnote 1, 1998, p.682, footnote 1) writes that these are "essentially the same class of surfaces". White, Brian (1997), "The Mathematics of F. J. Almgren Jr.", Notices of the American Mathematical Society, 44 (11): 1451–1456, ISSN 0002-9920, MR 1488574, Zbl 0908.01017. White, Brian (1998), "The mathematics of F. J. Almgren, Jr.", The Journal of Geometric Analysis, 8 (5): 681–702, CiteSeerX 10.1.1.120.4639, doi:10.1007/BF02922665, ISSN 1050-6926, MR 1731057, S2CID 122083638, Zbl 0955.01020 {{citation}}: Cite uses deprecated parameter |citeseerx= (help). An extended version of (White 1997) with a list of Almgren's publications.

zbmath.org (Global: 2,089^th place; English: 1,141^st place)

In his commemorative papers describing the research of Frederick Almgren, Brian White (1997, p.1452, footnote 1, 1998, p.682, footnote 1) writes that these are "essentially the same class of surfaces". White, Brian (1997), "The Mathematics of F. J. Almgren Jr.", Notices of the American Mathematical Society, 44 (11): 1451–1456, ISSN 0002-9920, MR 1488574, Zbl 0908.01017. White, Brian (1998), "The mathematics of F. J. Almgren, Jr.", The Journal of Geometric Analysis, 8 (5): 681–702, CiteSeerX 10.1.1.120.4639, doi:10.1007/BF02922665, ISSN 1050-6926, MR 1731057, S2CID 122083638, Zbl 0955.01020 {{citation}}: Cite uses deprecated parameter |citeseerx= (help). An extended version of (White 1997) with a list of Almgren's publications.
The first widely circulated exposition of Almgren's ideas is the book (Almgren 1966): however, the first systematic exposition of the theory is contained in the mimeographed notes (Almgren 1965), which had a far lower circulation, even if it is cited in Herbert Federer's classic text on geometric measure theory. See also the brief, clear survey by Ennio De Giorgi (1968). Almgren, Frederick J. Jr. (1966), Plateau's Problem: An Invitation to Varifold Geometry, Mathematics Monographs Series (1st ed.), New York–Amsterdam: W. A. Benjamin, Inc., pp. XII+74, MR 0190856, Zbl 0165.13201. The first widely circulated book describing the concept of a varifold. In chapter 4 is a section titled "A solution to the existence portion of Plateau's problem" but the stationary varifolds used in this section can only solve a greatly simplified version of the problem. For example, the only stationary varifolds containing the unit circle have support the unit disk. In 1968 Almgren used a combination of varifolds, integral currents, flat chains and Reifenberg's methods in an attempt to extend Reifenberg's celebrated 1960 paper to elliptic integrands. However, there are serious errors in his proof. A different approach to the Reifenberg problem for elliptic integrands has been recently provided by Harrison and Pugh (HarrisonPugh 2016) without using varifolds. De Giorgi, Ennio (1968), "Hypersurfaces of minimal measure in pluridimensional euclidean spaces", in Petrovsky, Ivan G. (ed.), Trudy Mezhdunarodnogo kongressa matematikov. Proceedings of International Congress of Mathematicians (Moscow−1966), ICM Proceedings, Moscow: Mir Publishers, pp. 395−401, MR 0234329, Zbl 0188.17503, archived from the original (PDF) on 2015-07-06, retrieved 2011-07-18.

Varifold (English Wikipedia)

ams.org (Global: 434th place; English: 249th place)

mathscinet.ams.org

ams.org

brown.edu (Global: 2,455th place; English: 1,451st place)

dam.brown.edu

doi.org (Global: 2nd place; English: 2nd place)

mathunion.org (Global: 8,098th place; English: 7,004th place)

psu.edu (Global: 299th place; English: 159th place)