Ricci flow (English Wikipedia)

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

refsWebsite

Global rank English rank

17doi.org

2^nd place

8arxiv.org

69^th place

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8worldcat.org

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4semanticscholar.org

11^th place

8^th place

3springer.com

274^th place

309^th place

2harvard.edu

18^th place

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2degruyterbrill.com

low place

1unt.edu

1,336^th place

769^th place

1jstor.org

26^th place

20^th place

1msp.org

low place

1intlpress.com

low place

1wiley.com

222^nd place

297^th place

1ams.org

451^st place

277^th place

ams.org (Global: 451^st place; English: 277^th place)

mathscinet.ams.org

Gianniotis, Panagiotis (2016). "The Ricci flow on manifolds with boundary". Journal of Differential Geometry. 104 (2): 291–324. arXiv:1210.0813. doi:10.4310/jdg/1476367059. MR 3557306.

arxiv.org (Global: 69^th place; English: 59^th place)

Enders, J.; Mueller, R.; Topping, P. (2011). "On Type I Singularities in Ricci flow". Communications in Analysis and Geometry. 19 (5): 905–922. arXiv:1005.1624. doi:10.4310/CAG.2011.v19.n5.a4. S2CID 968534.
Maximo, D. (2014). "On the blow-up of four-dimensional Ricci flow singularities". J. Reine Angew. Math. 2014 (692): 153–171. arXiv:1204.5967. doi:10.1515/crelle-2012-0080. S2CID 17651053.
Bamler, R.; Cifarelli, C.; Conlon, R.; Deruelle, A. (2022). "A new complete two-dimensional shrinking gradient Kähler-Ricci soliton". arXiv:2206.10785 [math.DG].
Cortissoz, Jean C.; Murcia, Alexander (2019-08-23). "The Ricci flow on surfaces with boundary". Communications in Analysis and Geometry. 27 (2): 377–420. arXiv:1209.2386. doi:10.4310/CAG.2019.v27.n2.a5. ISSN 1944-9992.
Pulemotov, Artem (2013-10-01). "Quasilinear parabolic equations and the Ricci flow on manifolds with boundary". Journal für die reine und angewandte Mathematik (Crelles Journal). 2013 (683): 97–118. arXiv:1012.2941. doi:10.1515/crelle-2012-0004. ISSN 1435-5345.
Gianniotis, Panagiotis (2016). "The Ricci flow on manifolds with boundary". Journal of Differential Geometry. 104 (2): 291–324. arXiv:1210.0813. doi:10.4310/jdg/1476367059. MR 3557306.
Li, Gang (2025-03-14), A normalized Ricci flow on surfaces with boundary towards the complete hyperbolic metric, arXiv:2502.00660
Chow, Tsz-Kiu Aaron (2022-02-01). "Ricci flow on manifolds with boundary with arbitrary initial metric". Journal für die reine und angewandte Mathematik (Crelles Journal). 2022 (783): 159–216. arXiv:2012.04430. doi:10.1515/crelle-2021-0060. ISSN 1435-5345.

degruyterbrill.com (Global: low place; English: low place)

Pulemotov, Artem (2013-10-01). "Quasilinear parabolic equations and the Ricci flow on manifolds with boundary". Journal für die reine und angewandte Mathematik (Crelles Journal). 2013 (683): 97–118. arXiv:1012.2941. doi:10.1515/crelle-2012-0004. ISSN 1435-5345.
Chow, Tsz-Kiu Aaron (2022-02-01). "Ricci flow on manifolds with boundary with arbitrary initial metric". Journal für die reine und angewandte Mathematik (Crelles Journal). 2022 (783): 159–216. arXiv:2012.04430. doi:10.1515/crelle-2021-0060. ISSN 1435-5345.

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

Friedan, D. (1980). "Nonlinear models in 2+ε dimensions". Physical Review Letters (Submitted manuscript). 45 (13): 1057–1060. Bibcode:1980PhRvL..45.1057F. doi:10.1103/PhysRevLett.45.1057.
DeTurck, Dennis M. (1983). "Deforming metrics in the direction of their Ricci tensors". J. Differential Geom. 18 (1): 157–162. doi:10.4310/jdg/1214509286.
Eells, James Jr.; Sampson, J.H. (1964). "Harmonic mappings of Riemannian manifolds". Amer. J. Math. 86 (1): 109–160. doi:10.2307/2373037. JSTOR 2373037.
Gromov, M.; Thurston, W. (1987). "Pinching constants for hyperbolic manifolds". Invent. Math. 89 (1): 1–12. Bibcode:1987InMat..89....1G. doi:10.1007/BF01404671. S2CID 119850633.
Li, Peter; Yau, Shing-Tung (1986). "On the parabolic kernel of the Schrödinger operator". Acta Math. 156 (3–4): 153–201. doi:10.1007/BF02399203. S2CID 120354778.
Shi, W.-X. (1989). "Deforming the metric on complete Riemannian manifolds". Journal of Differential Geometry. 30: 223–301. doi:10.4310/jdg/1214443292.
Enders, J.; Mueller, R.; Topping, P. (2011). "On Type I Singularities in Ricci flow". Communications in Analysis and Geometry. 19 (5): 905–922. arXiv:1005.1624. doi:10.4310/CAG.2011.v19.n5.a4. S2CID 968534.
Maximo, D. (2014). "On the blow-up of four-dimensional Ricci flow singularities". J. Reine Angew. Math. 2014 (692): 153–171. arXiv:1204.5967. doi:10.1515/crelle-2012-0080. S2CID 17651053.
Shen, Ying (1996-03-01). "On Ricci deformation of a Riemannian metric on manifold with boundary". Pacific Journal of Mathematics. 173 (1): 203–221. doi:10.2140/pjm.1996.173.203. ISSN 0030-8730.
Brendle, S. (2002-11-01). "Curvature flows on surfaces with boundary". Mathematische Annalen. 324 (3): 491–519. doi:10.1007/s00208-002-0350-4. ISSN 1432-1807.
Brendle, S. (2002-12-01). "A family of curvature flows on surfaces with boundary". Mathematische Zeitschrift. 241 (4): 829–869. doi:10.1007/s00209-002-0439-1. ISSN 1432-1823.
Cortissoz, Jean C. (2009-02-01). "Three-manifolds of positive curvature and convex weakly umbilic boundary". Geometriae Dedicata. 138 (1): 83–98. doi:10.1007/s10711-008-9300-y. ISSN 1572-9168.
Cortissoz, Jean C.; Murcia, Alexander (2019-08-23). "The Ricci flow on surfaces with boundary". Communications in Analysis and Geometry. 27 (2): 377–420. arXiv:1209.2386. doi:10.4310/CAG.2019.v27.n2.a5. ISSN 1944-9992.
Cortissoz, Jean C.; Reyes, César (2023). "Classical solutions to the one-dimensional logarithmic diffusion equation with nonlinear Robin boundary conditions". Mathematische Nachrichten. 296 (9): 4086–4107. doi:10.1002/mana.202100415. ISSN 1522-2616.
Pulemotov, Artem (2013-10-01). "Quasilinear parabolic equations and the Ricci flow on manifolds with boundary". Journal für die reine und angewandte Mathematik (Crelles Journal). 2013 (683): 97–118. arXiv:1012.2941. doi:10.1515/crelle-2012-0004. ISSN 1435-5345.
Gianniotis, Panagiotis (2016). "The Ricci flow on manifolds with boundary". Journal of Differential Geometry. 104 (2): 291–324. arXiv:1210.0813. doi:10.4310/jdg/1476367059. MR 3557306.
Chow, Tsz-Kiu Aaron (2022-02-01). "Ricci flow on manifolds with boundary with arbitrary initial metric". Journal für die reine und angewandte Mathematik (Crelles Journal). 2022 (783): 159–216. arXiv:2012.04430. doi:10.1515/crelle-2021-0060. ISSN 1435-5345.

harvard.edu (Global: 18^th place; English: 17^th place)

ui.adsabs.harvard.edu

Friedan, D. (1980). "Nonlinear models in 2+ε dimensions". Physical Review Letters (Submitted manuscript). 45 (13): 1057–1060. Bibcode:1980PhRvL..45.1057F. doi:10.1103/PhysRevLett.45.1057.
Gromov, M.; Thurston, W. (1987). "Pinching constants for hyperbolic manifolds". Invent. Math. 89 (1): 1–12. Bibcode:1987InMat..89....1G. doi:10.1007/BF01404671. S2CID 119850633.

intlpress.com (Global: low place; English: low place)

Cortissoz, Jean C.; Murcia, Alexander (2019-08-23). "The Ricci flow on surfaces with boundary". Communications in Analysis and Geometry. 27 (2): 377–420. arXiv:1209.2386. doi:10.4310/CAG.2019.v27.n2.a5. ISSN 1944-9992.

jstor.org (Global: 26^th place; English: 20^th place)

Eells, James Jr.; Sampson, J.H. (1964). "Harmonic mappings of Riemannian manifolds". Amer. J. Math. 86 (1): 109–160. doi:10.2307/2373037. JSTOR 2373037.

msp.org (Global: low place; English: low place)

Shen, Ying (1996-03-01). "On Ricci deformation of a Riemannian metric on manifold with boundary". Pacific Journal of Mathematics. 173 (1): 203–221. doi:10.2140/pjm.1996.173.203. ISSN 0030-8730.

semanticscholar.org (Global: 11^th place; English: 8^th place)

api.semanticscholar.org

Gromov, M.; Thurston, W. (1987). "Pinching constants for hyperbolic manifolds". Invent. Math. 89 (1): 1–12. Bibcode:1987InMat..89....1G. doi:10.1007/BF01404671. S2CID 119850633.
Li, Peter; Yau, Shing-Tung (1986). "On the parabolic kernel of the Schrödinger operator". Acta Math. 156 (3–4): 153–201. doi:10.1007/BF02399203. S2CID 120354778.
Enders, J.; Mueller, R.; Topping, P. (2011). "On Type I Singularities in Ricci flow". Communications in Analysis and Geometry. 19 (5): 905–922. arXiv:1005.1624. doi:10.4310/CAG.2011.v19.n5.a4. S2CID 968534.
Maximo, D. (2014). "On the blow-up of four-dimensional Ricci flow singularities". J. Reine Angew. Math. 2014 (692): 153–171. arXiv:1204.5967. doi:10.1515/crelle-2012-0080. S2CID 17651053.

springer.com (Global: 274^th place; English: 309^th place)

link.springer.com

Brendle, S. (2002-11-01). "Curvature flows on surfaces with boundary". Mathematische Annalen. 324 (3): 491–519. doi:10.1007/s00208-002-0350-4. ISSN 1432-1807.
Brendle, S. (2002-12-01). "A family of curvature flows on surfaces with boundary". Mathematische Zeitschrift. 241 (4): 829–869. doi:10.1007/s00209-002-0439-1. ISSN 1432-1823.
Cortissoz, Jean C. (2009-02-01). "Three-manifolds of positive curvature and convex weakly umbilic boundary". Geometriae Dedicata. 138 (1): 83–98. doi:10.1007/s10711-008-9300-y. ISSN 1572-9168.

unt.edu (Global: 1,336^th place; English: 769^th place)

digital.library.unt.edu

Friedan, D. (1980). "Nonlinear models in 2+ε dimensions". Physical Review Letters (Submitted manuscript). 45 (13): 1057–1060. Bibcode:1980PhRvL..45.1057F. doi:10.1103/PhysRevLett.45.1057.

wiley.com (Global: 222^nd place; English: 297^th place)

onlinelibrary.wiley.com

Cortissoz, Jean C.; Reyes, César (2023). "Classical solutions to the one-dimensional logarithmic diffusion equation with nonlinear Robin boundary conditions". Mathematische Nachrichten. 296 (9): 4086–4107. doi:10.1002/mana.202100415. ISSN 1522-2616.

worldcat.org (Global: 5^th place; English: 5^th place)

search.worldcat.org

Shen, Ying (1996-03-01). "On Ricci deformation of a Riemannian metric on manifold with boundary". Pacific Journal of Mathematics. 173 (1): 203–221. doi:10.2140/pjm.1996.173.203. ISSN 0030-8730.
Brendle, S. (2002-11-01). "Curvature flows on surfaces with boundary". Mathematische Annalen. 324 (3): 491–519. doi:10.1007/s00208-002-0350-4. ISSN 1432-1807.
Brendle, S. (2002-12-01). "A family of curvature flows on surfaces with boundary". Mathematische Zeitschrift. 241 (4): 829–869. doi:10.1007/s00209-002-0439-1. ISSN 1432-1823.
Cortissoz, Jean C. (2009-02-01). "Three-manifolds of positive curvature and convex weakly umbilic boundary". Geometriae Dedicata. 138 (1): 83–98. doi:10.1007/s10711-008-9300-y. ISSN 1572-9168.
Cortissoz, Jean C.; Murcia, Alexander (2019-08-23). "The Ricci flow on surfaces with boundary". Communications in Analysis and Geometry. 27 (2): 377–420. arXiv:1209.2386. doi:10.4310/CAG.2019.v27.n2.a5. ISSN 1944-9992.
Cortissoz, Jean C.; Reyes, César (2023). "Classical solutions to the one-dimensional logarithmic diffusion equation with nonlinear Robin boundary conditions". Mathematische Nachrichten. 296 (9): 4086–4107. doi:10.1002/mana.202100415. ISSN 1522-2616.
Pulemotov, Artem (2013-10-01). "Quasilinear parabolic equations and the Ricci flow on manifolds with boundary". Journal für die reine und angewandte Mathematik (Crelles Journal). 2013 (683): 97–118. arXiv:1012.2941. doi:10.1515/crelle-2012-0004. ISSN 1435-5345.
Chow, Tsz-Kiu Aaron (2022-02-01). "Ricci flow on manifolds with boundary with arbitrary initial metric". Journal für die reine und angewandte Mathematik (Crelles Journal). 2022 (783): 159–216. arXiv:2012.04430. doi:10.1515/crelle-2021-0060. ISSN 1435-5345.

Ricci flow (English Wikipedia)

ams.org (Global: 451st place; English: 277th place)

mathscinet.ams.org

arxiv.org (Global: 69th place; English: 59th place)

degruyterbrill.com (Global: low place; English: low place)

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

harvard.edu (Global: 18th place; English: 17th place)

ui.adsabs.harvard.edu

intlpress.com (Global: low place; English: low place)

jstor.org (Global: 26th place; English: 20th place)

msp.org (Global: low place; English: low place)

semanticscholar.org (Global: 11th place; English: 8th place)

api.semanticscholar.org

springer.com (Global: 274th place; English: 309th place)

link.springer.com

unt.edu (Global: 1,336th place; English: 769th place)

digital.library.unt.edu

wiley.com (Global: 222nd place; English: 297th place)

onlinelibrary.wiley.com

worldcat.org (Global: 5th place; English: 5th place)

search.worldcat.org

ams.org (Global: 451^st place; English: 277^th place)

arxiv.org (Global: 69^th place; English: 59^th place)

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

harvard.edu (Global: 18^th place; English: 17^th place)

jstor.org (Global: 26^th place; English: 20^th place)

semanticscholar.org (Global: 11^th place; English: 8^th place)

springer.com (Global: 274^th place; English: 309^th place)

unt.edu (Global: 1,336^th place; English: 769^th place)

wiley.com (Global: 222^nd place; English: 297^th place)

worldcat.org (Global: 5^th place; English: 5^th place)