On the inverse mean curvature flow by parallel hypersurfaces in space forms

DOI10.1090/PROC/16967MaRDI QIDQ6654043

Keti Tenenblat, Alancoc dos Santos Alencar

Publication date: 18 December 2024

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

isoparametric hypersurfacesinverse mean curvature flowspace formsminimal hypersurfacesancient solutionsparallel hypersurfaceseternal solutionsimmortal solutions

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Flows related to mean curvature (53E10)

Cites Work

• Title not available (Why is that?)
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• Isoparametrische Hyperflächen in Sphären. I
• The inverse mean curvature flow in Robertson-Walker spaces and its application to cosmology
• The inverse mean curvature flow in cosmological spacetimes
• The inverse mean curvature flow and the Riemannian Penrose inequality
• Isoparametric hypersurfaces with four or six distinct principal curvatures. Necessary conditions on the multiplicities
• Classification of prime 3-manifolds with \(\sigma\) invariant greater than \(\mathbb RP^3\)
• The Penrose inequality for asymptotically locally hyperbolic spaces with nonpositive mass
• Familles de surfaces isoparamétriques dans les espaces à courbure constante.
• The mean curvature flow by parallel hypersurfaces
• Isoparametric hypersurfaces of Riemannian manifolds as initial data for the mean curvature flow
• Weingarten flows in Riemannian manifolds

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