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Number of items: 39.
Journal Article
Topping, Peter and Yin, Hao (2024) Uniqueness of Ricci flows from nonatomic Radon measures on Riemann surfaces. Proceedings of the London Mathematical Society . ISSN 0024-6115 . (In Press)
Lee, Man-Chun and Topping, Peter (2023) Time zero regularity of Ricci flow. International Mathematics Research Notices, 2023 (24). pp. 21167-21179. doi:10.1093/imrn/rnac300 ISSN 1073-7928.
Topping, Peter (2023) Nontrivial breathers for Ricci flow. Bulletin of the London Mathematical Society, 55 (1). pp. 344-348. doi:10.1112/blms.12732 ISSN 0024-6093 .
Topping, Peter (2023) A rigidity estimate for maps from S2 to S2 via the harmonic map flow. Bulletin of the London Mathematical Society, 55 (1). pp. 338-343. doi:10.1112/blms.12731 ISSN 0024-6093 .
Simon, Miles and Topping, Peter (2022) Local control on the geometry in 3D Ricci flow. Journal of Differential Geometry, 122 (3). pp. 467-518. doi:10.4310/jdg/1675712996 ISSN 0022-040X.
McLeod , Andrew D. and Topping, Peter (2022) Global regularity of three-dimensional Ricci limit spaces. Transactions of the American Mathematical Society, 9 . pp. 345-370. doi:10.1090/btran/47 ISSN 0002-9947.
Kohout, James, Rupflin, Melanie and Topping, Peter (2022) Uniqueness and nonuniqueness of limits of teichmuller harmonic map flow. Advances in Calculus of Variations, 15 (3). pp. 369-384. doi:10.1515/acv-2019-0086 ISSN 1864-8258.
Miles, Simon and Topping, Peter (2021) Local mollification of Riemannian metrics using Ricci flow, and Ricci limit spaces. Geometry and Topology, 25 (2). pp. 913-948. doi:10.2140/gt.2021.25.913 ISSN 1465-3060.
Topping, Peter and Yin, Hao (2020) Rate of curvature decay for the contracting cusp Ricci flow. Communications in Analysis and Geometry, 28 (5). pp. 1221-1250. doi:10.4310/CAG.2020.v28.n5.a3 ISSN 1019-8385.
Mcleod, Andrew Donald and Topping, Peter (2020) Pyramid Ricci flow in higher dimensions. Mathematische Zeitschrift, 296 . pp. 511-523. doi:10.1007/s00209-020-02472-1 ISSN 0025-5874.
Rupflin, Melanie and Topping, Peter (2019) Global weak solutions of the TeichmΓΌller harmonic map flow into general targets. Analysis & PDE, 12 (3). pp. 815-842. doi:10.2140/apde.2019.12.815 ISSN 2157-5045.
Rupflin, Melanie and Topping, Peter (2018) Horizontal curves of hyperbolic metrics. Calculus of Variations and Partial Differential Equations, 57 . 106. doi:10.1007/s00526-018-1386-y ISSN 0944-2669.
Rupflin, Melanie and Topping, Peter (2018) TeichmΓΌller harmonic map flow into nonpositively curved targets. Journal of Differential Geometry, 108 (1). pp. 135-184. doi:10.4310/jdg/1513998032 ISSN 0022-040X.
Topping, Peter and Yin, Hao (2017) Sharp decay estimates for the logarithmic fast diffusion equation and the Ricci flow on surfaces. Annals of PDE, 3 . 6. doi:10.1007/s40818-017-0024-x ISSN 2199-2576.
Rupflin, Melanie and Topping, Peter (2016) Flowing maps to minimal surfaces. American Journal of Mathematics, 138 (4). pp. 1095-1115. doi:10.1353/ajm.2016.0035 ISSN 0002-9327.
Huxol, Tobias, Rupflin, Melanie and Topping, Peter (2016) Refined asymptotics of the Teichmuller harmonic map flow into general targets. Calculus of Variations and Partial Differential Equations, 55 (85). doi:10.1007/s00526-016-1019-2 ISSN 0944-2669.
Giesen, Gregor and Topping, Peter (2016) Ricci flows with bursts of unbounded curvature. Communications in Partial Differential Equations, 41 (5). pp. 854-876. doi:10.1080/03605302.2015.1135167 ISSN 0360-5302.
Rupflin, Melanie and Topping, Peter (2015) A uniform PoincarΓ© estimate for quadratic differentials on closed surfaces. Calculus of Variations and Partial Differential Equations, Volume 53 (Number 3-4). pp. 587-604. doi:10.1007/s00526-014-0759-0 ISSN 0944-2669.
Topping, Peter (2015) Uniqueness of instantaneously complete Ricci flows. Geometry & Topology, 19 (3). pp. 1477-1492. doi:10.2140/gt.2015.19.1477 ISSN 1364-0380.
Topping, Peter (2014) Remarks on Hamilton's compactness theorem for Ricci flow. Journal fΓΌr die reine und angewandte Mathematik (Crelles Journal), 2014 (692). pp. 173-191. doi:10.1515/crelle-2012-0079 ISSN 0075-4102.
Rupflin, Melanie, Topping, Peter and Zhu, Miaomiao (2013) Asymptotics of the TeichmΓΌller harmonic map flow. Advances in Mathematics, Volume 244 . pp. 874-893. doi:10.1016/j.aim.2013.05.021 ISSN 0001-8708.
Giesen, Gregor and Topping, Peter (2013) Ricci flows with unbounded curvature. Mathematische Zeitschrift, Volume 273 (Number 1-2). pp. 449-460. doi:10.1007/s00209-012-1014-z ISSN 0025-5874.
Helmensdorfer, Sebastian and Topping, Peter (2013) Bouncing of charged droplets : an explanation using mean curvature flow. EPL (Europhysics Letters), Volume 104 (Number 3). Article number 34001. doi:10.1209/0295-5075/104/34001 ISSN 0295-5075.
Sharp, Benjamin G. and Topping, Peter (2012) Decay estimates for RiviΓ¨reβs equation, with applications to regularity and compactness. Transactions of the American Mathematical Society, Volume 365 (Number 5). pp. 2317-2339. doi:10.1090/S0002-9947-2012-05671-6 ISSN 0002-9947.
Lellis, Camillo De and Topping, Peter (2012) Almost-Schur lemma. Calculus of Variations and Partial Differential Equations, Vol.43 (No.3-4). pp. 347-354. doi:10.1007/s00526-011-0413-z ISSN 0944-2669.
Cabezas-Rivas, Esther and Topping, Peter (2012) The canonical shrinking soliton associated to a Ricci flow. Calculus of Variations and Partial Differential Equations, Vol.43 (No.1-2). pp. 173-184. doi:10.1007/s00526-011-0407-x ISSN 0944-2669.
Topping, Peter (2012) Uniqueness and nonuniqueness for Ricci flow on surfaces : reverse cusp singularities. International Mathematics Research Notices, Vol.2012 (No.10). pp. 2356-2376. doi:10.1093/imrn/rnr082 ISSN 1073-7928.
Cabezas-Rivas, Esther and Topping, Peter (2012) The canonical expanding soliton and Harnack inequalities for Ricci flow. Transactions of the American Mathematical Society, Vol.364 (No.6). pp. 3001-3021. doi:10.1090/S0002-9947-2012-05391-8 ISSN 0002-9947.
Giesen, Gregor and Topping, Peter (2011) Existence of Ricci flows of incomplete surfaces. Communications in Partial Differential Equations, Vol.36 (No.10). pp. 1860-1880. doi:10.1080/03605302.2011.558555 ISSN 0360-5302.
Enders, Joerg, Muller, Reto and Topping, Peter (2011) On Type-I singularities in Ricci flow. Communications in Analysis and Geometry, Vol. 19 (No. 5). pp. 905-922. ISSN 1944-9992.
Giesen, Gregor and Topping, Peter (2010) Ricci flow of negatively curved incomplete surfaces. Calculus of Variations and Partial Differential Equations, Vol.38 (No.3-4). pp. 357-367. doi:10.1007/s00526-009-0290-x ISSN 0944-2669.
McCann, Robert J. and Topping, Peter (2010) Ricci flow, entropy and optimal transportation. American Journal of Mathematics, Vol.132 (No.3). pp. 711-730. doi:10.1353/ajm.0.0110 ISSN 0002-9327.
Topping, Peter (2010) Ricci flow compactness via pseudolocality, and flows with incomplete initial metrics. Journal of the European Mathematical Society, Vol.12 (No.6). pp. 1429-1451. doi:10.4171/JEMS/237 ISSN 1435-9855.
Topping, Peter (2009) L-optimal transportation for Ricci flow. Journal fur die reine und angewandte Mathematik, Vol.2009 (No.636). pp. 93-122. doi:10.1515/CRELLE.2009.083 ISSN 0075-4102.
Ecker, Klaus, Knopf, Dan, Ni, Lei and Topping, Peter (2008) Local monotonicity and mean value formulas for evolving Riemannian manifolds. Journal fur die reine und angewandte Mathematik, Vol.2008 (No.616). pp. 89-130. doi:10.1515/CRELLE.2008.019 ISSN 0075-4102.
Topping, Peter (2008) Relating diameter and mean curvature for submanifolds of Euclidean space. Commentarii Mathematici Helvetici, Vol.83 (No.3). pp. 539-546. doi:10.4171/CMH/135 ISSN 0010-2571.
Conference Item
Topping, Peter (2021) Loss of initial data under limits of Ricci flows. In: Minimal surfaces : integrable systems and visualisation, Leicester, 2-6 Sep 2019. Published in: Minimal Surfaces: Integrable Systems and Visualisation : m:iv Workshops, 2016β19, 349 pp. 257-261. ISBN 9783030685409. doi:10.1007/978-3-030-68541-6 ISSN 2194-1009.
Submitted Journal Article
Topping, Peter Reverse bubbling in geometric flows.
Thesis
Topping, Peter (1996) The harmonic map heat flow from surfaces. PhD thesis, University of Warwick.
This list was generated on Tue Apr 23 14:34:21 2024 BST.