Entropy estimates for evolving hypersurfaces

DOI10.4310/CAG.1994.v2.n1.a3zbMath0839.53049OpenAlexW2736844446MaRDI QIDQ1903137

Ben Andrews

Publication date: 18 June 1996

Published in: Communications in Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/cag.1994.v2.n1.a3

zbMATH Keywords

convex hypersurfacesAlexandrov-Fenchel inequalitiesentropy estimatesparabolic curvature flows

Mathematics Subject Classification ID

Entropy in general topology (54C70) Integral geometry (53C65) Initial value problems for linear higher-order PDEs (35G10) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Higher-order parabolic equations (35K25) Equations in function spaces; evolution equations (58D25)

Related Items

Christoffel-Minkowski flows, Harnack inequalities for evolving hypersurfaces, Li-Yau inequalities in geometric analysis, Local 𝐿^{𝑝}-Brunn–Minkowski inequalities for 𝑝<1, A LOCAL UNIQUENESS THEOREM FOR MINIMIZERS OF PETTY's CONJECTURED PROJECTION INEQUALITY, Orlicz-Minkowski flows, The second mixed projection problem and the projection centroid conjectures, Anisotropic flow of convex hypersurfaces by the square root of the scalar curvature, Convergence of Gauss curvature flows to translating solitons, Mixed volume preserving flow by powers of homogeneous curvature functions of degree one