Geometrization conjecture (English Wikipedia)

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

refsWebsite

Global rank English rank

7arxiv.org

69^th place

59^th place

6doi.org

2^nd place

4semanticscholar.org

11^th place

8^th place

2ams.org

451^st place

277^th place

1worldcat.org

5^th place

1zbmath.org

1,923^rd place

1,068^th place

1harvard.edu

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17^th place

1ujf-grenoble.fr

low place

1warwick.ac.uk

4,378^th place

2,689^th place

ams.org

mathscinet.ams.org

Morgan & Tian 2014. Morgan, John; Tian, Gang (2014). The geometrization conjecture. Clay Mathematics Monographs. Vol. 5. Cambridge, MA: Clay Mathematics Institute. ISBN 978-0-8218-5201-9. MR 3186136.
Cao & Zhu 2006; Kleiner & Lott 2008. Kleiner, Bruce; Lott, John (2008). "Notes on Perelman's papers". Geometry & Topology. 12 (5). Updated for corrections in 2011 & 2013: 2587–2855. arXiv:math/0605667. doi:10.2140/gt.2008.12.2587. MR 2460872. Zbl 1204.53033.

arxiv.org

Geng, Andrew (9 June 2016). "5-dimensional geometries I: the general classification". arXiv:1605.07545 [math.GT].
Quinn, Joseph; Verjovsky, Alberto (2020-06-01). "Cusp shapes of Hilbert–Blumenthal surfaces". Geometriae Dedicata. 206 (1): 27–42. arXiv:1711.02418. doi:10.1007/s10711-019-00474-w. ISSN 1572-9168. S2CID 55731832.
Shioya, T.; Yamaguchi, T. (2005). "Volume collapsed three-manifolds with a lower curvature bound". Math. Ann. 333 (1): 131–155. arXiv:math/0304472. doi:10.1007/s00208-005-0667-x. S2CID 119481.
Cao, Jianguo; Ge, Jian (2011). "A simple proof of Perelman's collapsing theorem for 3-manifolds". J. Geom. Anal. 21 (4): 807–869. arXiv:1003.2215. doi:10.1007/s12220-010-9169-5. S2CID 514106.
Cao & Zhu 2006; Kleiner & Lott 2008. Kleiner, Bruce; Lott, John (2008). "Notes on Perelman's papers". Geometry & Topology. 12 (5). Updated for corrections in 2011 & 2013: 2587–2855. arXiv:math/0605667. doi:10.2140/gt.2008.12.2587. MR 2460872. Zbl 1204.53033.
Bessieres, L.; Besson, G.; Boileau, M.; Maillot, S.; Porti, J. (2007). "Weak collapsing and geometrization of aspherical 3-manifolds". arXiv:0706.2065 [math.GT].
Hillman, Jonathan (13 November 2022). "Four-manifolds, geometries and knots". arXiv:math/0212142.

doi.org

Fintushel, Ronald (1976). "Local S¹ actions on 3-manifolds". Pacific Journal of Mathematics. 66 (1): 111–118. doi:10.2140/pjm.1976.66.111.
Quinn, Joseph; Verjovsky, Alberto (2020-06-01). "Cusp shapes of Hilbert–Blumenthal surfaces". Geometriae Dedicata. 206 (1): 27–42. arXiv:1711.02418. doi:10.1007/s10711-019-00474-w. ISSN 1572-9168. S2CID 55731832.
Shioya, T.; Yamaguchi, T. (2005). "Volume collapsed three-manifolds with a lower curvature bound". Math. Ann. 333 (1): 131–155. arXiv:math/0304472. doi:10.1007/s00208-005-0667-x. S2CID 119481.
Cao, Jianguo; Ge, Jian (2011). "A simple proof of Perelman's collapsing theorem for 3-manifolds". J. Geom. Anal. 21 (4): 807–869. arXiv:1003.2215. doi:10.1007/s12220-010-9169-5. S2CID 514106.
Cao & Zhu 2006; Kleiner & Lott 2008. Kleiner, Bruce; Lott, John (2008). "Notes on Perelman's papers". Geometry & Topology. 12 (5). Updated for corrections in 2011 & 2013: 2587–2855. arXiv:math/0605667. doi:10.2140/gt.2008.12.2587. MR 2460872. Zbl 1204.53033.
Bessieres, L.; Besson, G.; Boileau, M.; Maillot, S.; Porti, J. (2010). "Collapsing irreducible 3-manifolds with nontrivial fundamental group". Invent. Math. 179 (2): 435–460. Bibcode:2010InMat.179..435B. doi:10.1007/s00222-009-0222-6. S2CID 119436601.

harvard.edu

ui.adsabs.harvard.edu

Bessieres, L.; Besson, G.; Boileau, M.; Maillot, S.; Porti, J. (2010). "Collapsing irreducible 3-manifolds with nontrivial fundamental group". Invent. Math. 179 (2): 435–460. Bibcode:2010InMat.179..435B. doi:10.1007/s00222-009-0222-6. S2CID 119436601.

semanticscholar.org

api.semanticscholar.org

Quinn, Joseph; Verjovsky, Alberto (2020-06-01). "Cusp shapes of Hilbert–Blumenthal surfaces". Geometriae Dedicata. 206 (1): 27–42. arXiv:1711.02418. doi:10.1007/s10711-019-00474-w. ISSN 1572-9168. S2CID 55731832.
Shioya, T.; Yamaguchi, T. (2005). "Volume collapsed three-manifolds with a lower curvature bound". Math. Ann. 333 (1): 131–155. arXiv:math/0304472. doi:10.1007/s00208-005-0667-x. S2CID 119481.
Cao, Jianguo; Ge, Jian (2011). "A simple proof of Perelman's collapsing theorem for 3-manifolds". J. Geom. Anal. 21 (4): 807–869. arXiv:1003.2215. doi:10.1007/s12220-010-9169-5. S2CID 514106.
Bessieres, L.; Besson, G.; Boileau, M.; Maillot, S.; Porti, J. (2010). "Collapsing irreducible 3-manifolds with nontrivial fundamental group". Invent. Math. 179 (2): 435–460. Bibcode:2010InMat.179..435B. doi:10.1007/s00222-009-0222-6. S2CID 119436601.

ujf-grenoble.fr

www-fourier.ujf-grenoble.fr

L. Bessieres, G. Besson, M. Boileau, S. Maillot, J. Porti, 'Geometrisation of 3-manifolds', EMS Tracts in Mathematics, volume 13. European Mathematical Society, Zurich, 2010. Available at https://www-fourier.ujf-grenoble.fr/~besson/book.pdf

warwick.ac.uk

wrap.warwick.ac.uk

Filipkiewicz, Richard (1983). Four dimensional geometries (PhD thesis). University of Warwick. Retrieved 31 January 2024.

worldcat.org

search.worldcat.org

Quinn, Joseph; Verjovsky, Alberto (2020-06-01). "Cusp shapes of Hilbert–Blumenthal surfaces". Geometriae Dedicata. 206 (1): 27–42. arXiv:1711.02418. doi:10.1007/s10711-019-00474-w. ISSN 1572-9168. S2CID 55731832.

zbmath.org

Cao & Zhu 2006; Kleiner & Lott 2008. Kleiner, Bruce; Lott, John (2008). "Notes on Perelman's papers". Geometry & Topology. 12 (5). Updated for corrections in 2011 & 2013: 2587–2855. arXiv:math/0605667. doi:10.2140/gt.2008.12.2587. MR 2460872. Zbl 1204.53033.