The volume-preserving mean curvature flow in Euclidean space

DOI10.2140/pjm.2009.243.331zbMath1182.53061OpenAlexW1988427325WikidataQ126089535 ScholiaQ126089535MaRDI QIDQ1036224

Haozhao Li

Publication date: 12 November 2009

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.2009.243.331

zbMATH Keywords

stabilitysecond fundamental formhypersurfacevolume-preserving mean curvature flow

Mathematics Subject Classification ID

Related Items (13)

Area-preserving mean curvature flow of rotationally symmetric hypersurfaces with free boundaries ⋮ Volume preserving mean curvature flow for star-shaped sets ⋮ The existence of a weak solution to volume preserving mean curvature flow in higher dimensions ⋮ Stability of the surface area preserving mean curvature flow in Euclidean space ⋮ Snapshots of non-local constrained mean curvature-type flows ⋮ Nonlocal estimates for the volume preserving mean curvature flow and applications ⋮ A structure-preserving parametric finite element method for area-conserved generalized curvature flow ⋮ Volume preserving mean curvature flows near strictly stable sets in flat torus ⋮ Volume preserving mean curvature flow of revolution hypersurfaces between two equidistants ⋮ Volume-preserving mean curvature flow of hypersurfaces in space forms ⋮ Relating diameter and mean curvature for Riemannian submanifolds ⋮ Mixed volume preserving flow by powers of homogeneous curvature functions of degree one ⋮ Global solutions to the volume-preserving mean-curvature flow

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