Evolution of hypersurfaces by their curvature in Riemannian manifolds.
Huisken, Gerhard (1998)
Documenta Mathematica
Similarity:
Huisken, Gerhard (1998)
Documenta Mathematica
Similarity:
Mayer, Uwe F. (2001)
Experimental Mathematics
Similarity:
Haesen, Stefan, Verpoort, Steven (2010)
Beiträge zur Algebra und Geometrie
Similarity:
Brent Collins (2001)
Visual Mathematics
Similarity:
Lohkamp, Joachim (1998)
Documenta Mathematica
Similarity:
Nobumitsu Nakauchi (1993)
Manuscripta mathematica
Similarity:
Luo, Feng (2005)
Electronic Research Announcements of the American Mathematical Society [electronic only]
Similarity:
Theodora Bourni, Mat Langford (2016)
Geometric Flows
Similarity:
We show that any strictly mean convex translator of dimension n ≥ 3 which admits a cylindrical estimate and a corresponding gradient estimate is rotationally symmetric. As a consequence, we deduce that any translating solution of the mean curvature flow which arises as a blow-up limit of a two-convex mean curvature flow of compact immersed hypersurfaces of dimension n ≥ 3 is rotationally symmetric. The proof is rather robust, and applies to a more general class of translator equations....
Xu-Jia Wang (2014)
Journal of the European Mathematical Society
Similarity:
The convexity of level sets of solutions to the mean curvature equation is a long standing open problem. In this paper we give a counterexample to it.
Christos Baikoussis, Themis Koufogiorgos (1988)
Colloquium Mathematicae
Similarity:
Esther Cabezas-Rivas, Burkhard Wilking (2015)
Journal of the European Mathematical Society
Similarity:
We prove short time existence for the Ricci flow on open manifolds of non-negative complex sectional curvature without requiring upper curvature bounds. By considering the doubling of convex sets contained in a Cheeger–Gromoll convex exhaustion and solving the singular initial value problem for the Ricci flow on these closed manifolds, we obtain a sequence of closed solutions of the Ricci flow with non-negative complex sectional curvature which subconverge to a Ricci flow on the open...
Rolf Schneider (1983)
Annales Polonici Mathematici
Similarity:
Gerhard Huisken (1987)
Mathematische Zeitschrift
Similarity:
Iyigün, Esen (2002)
APPS. Applied Sciences
Similarity:
Paweł Grzegorz Walczak (1984)
Banach Center Publications
Similarity:
Gerhard Huisken (1987)
Journal für die reine und angewandte Mathematik
Similarity: