Volume 19, issue 4 (2015)

Download this article
Download this article For screen
For printing
Recent Issues

Volume 24, 1 issue

Volume 23, 7 issues

Volume 22, 7 issues

Volume 21, 6 issues

Volume 20, 6 issues

Volume 19, 6 issues

Volume 18, 5 issues

Volume 17, 5 issues

Volume 16, 4 issues

Volume 15, 4 issues

Volume 14, 5 issues

Volume 13, 5 issues

Volume 12, 5 issues

Volume 11, 4 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 3 issues

Volume 7, 2 issues

Volume 6, 2 issues

Volume 5, 2 issues

Volume 4, 1 issue

Volume 3, 1 issue

Volume 2, 1 issue

Volume 1, 1 issue

The Journal
About the Journal
Editorial Board
Subscriptions
Editorial Interests
Editorial Procedure
Submission Guidelines
Submission Page
Ethics Statement
ISSN (electronic): 1364-0380
ISSN (print): 1465-3060
Author Index
To Appear
 
Other MSP Journals
Uniqueness of the bowl soliton

Robert Haslhofer

Geometry & Topology 19 (2015) 2393–2406
Bibliography
1 S J Altschuler, L F Wu, Translating surfaces of the non-parametric mean curvature flow with prescribed contact angle, Calc. Var. Partial Differential Equations 2 (1994) 101 MR1384396
2 B Andrews, Noncollapsing in mean-convex mean curvature flow, Geom. Topol. 16 (2012) 1413 MR2967056
3 S B Angenent, J J L Velázquez, Degenerate neckpinches in mean curvature flow, J. Reine Angew. Math. 482 (1997) 15 MR1427656
4 S Brendle, Rotational symmetry of self-similar solutions to the Ricci flow, Invent. Math. 194 (2013) 731 MR3127066
5 S Brendle, Rotational symmetry of Ricci solitons in higher dimensions, J. Differential Geom. 97 (2014) 191 MR3231974
6 S Brendle, G Huisken, Mean curvature flow with surgery of mean convex surfaces in $\mathbb{R}^3$, Invent. Math. (2015)
7 O Chodosh, Expanding Ricci solitons asymptotic to cones, Calc. Var. Partial Differential Equations 51 (2014) 1 MR3247379
8 O Chodosh, F T H Fong, Rotational symmetry of conical Kähler–Ricci solitons, Math. Ann. (2015)
9 J Clutterbuck, O C Schnürer, F Schulze, Stability of translating solutions to mean curvature flow, Calc. Var. Partial Differential Equations 29 (2007) 281 MR2321890
10 T H Colding, W P Minicozzi II, Uniqueness of blowups and \L ojasiewicz inequalities, Ann. of Math. 182 (2015) 221
11 R S Hamilton, Harnack estimate for the mean curvature flow, J. Differential Geom. 41 (1995) 215 MR1316556
12 R Haslhofer, B Kleiner, Mean curvature flow of mean convex hypersurfaces, arXiv:1304.0926
13 R Haslhofer, B Kleiner, Mean curvature flow with surgery, arXiv:1404.2332
14 R Haslhofer, B Kleiner, On Brendle's estimate for the inscribed radius under mean curvature flow, Int. Math. Res. Not. (2014)
15 G Huisken, C Sinestrari, Convexity estimates for mean curvature flow and singularities of mean convex surfaces, Acta Math. 183 (1999) 45 MR1719551
16 G Huisken, C Sinestrari, Mean curvature flow singularities for mean convex surfaces, Calc. Var. Partial Differential Equations 8 (1999) 1 MR1666878
17 G Huisken, C Sinestrari, Mean curvature flow with surgeries of two-convex hypersurfaces, Invent. Math. 175 (2009) 137 MR2461428
18 B Kotschwar, L Wang, Rigidity of asymptotically conical shrinking gradient Ricci solitons, J. Differential Geom. 100 (2015) 55 MR3326574
19 F Martin, A Savas-Halilaj, K Smoczyk, On the topology of translating solitons of the mean curvature flow, arXiv:1404.6703
20 W W Mullins, Two-dimensional motion of idealized grain boundaries, J. Appl. Phys. 27 (1956) 900 MR0078836
21 G Perelman, The entropy formula for the Ricci flow and its geometric applications, arXiv:math/0211159
22 W Sheng, X J Wang, Singularity profile in the mean curvature flow, Methods Appl. Anal. 16 (2009) 139 MR2563745
23 L Wang, Uniqueness of self-similar shrinkers with asymptotically conical ends, J. Amer. Math. Soc. 27 (2014) 613 MR3194490
24 L Wang, Uniqueness of self-similar shrinkers with asymptotically cylindrical ends, J. Reine Angew. Math. (2014)
25 X J Wang, Convex solutions to the mean curvature flow, Ann. of Math. 173 (2011) 1185 MR2800714
26 B White, The size of the singular set in mean curvature flow of mean-convex sets, J. Amer. Math. Soc. 13 (2000) 665 MR1758759
27 B White, The nature of singularities in mean curvature flow of mean-convex sets, J. Amer. Math. Soc. 16 (2003) 123 MR1937202