Surfaces contracting with speed \(| A|^2\)

DOI10.4310/jdg/1143571987zbMath1101.53002arXivmath/0409388OpenAlexW1904657563WikidataQ115198523 ScholiaQ115198523MaRDI QIDQ2494219

Oliver C. Schnurer

Publication date: 19 June 2006

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0409388

zbMATH Keywords

flow equationsconvex surfacesthe second fundamental form

Mathematics Subject Classification ID

Surfaces in Euclidean and related spaces (53A05) Global surface theory (convex surfaces à la A. D. Aleksandrov) (53C45)

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Curvature flow in hyperbolic spaces ⋮ Volume preserving flow by powers of symmetric polynomials in the principal curvatures ⋮ Unnamed Item ⋮ Snapshots of non-local constrained mean curvature-type flows ⋮ Stability of mean convex cones under mean curvature flow ⋮ Fully nonlinear curvature flow of axially symmetric hypersurfaces with boundary conditions ⋮ Convex bodies with pinched Mahler volume under the centro-affine normal flows ⋮ PARABOLIC CLASSICAL CURVATURE FLOWS ⋮ Contraction of surfaces in hyperbolic space and in sphere ⋮ Volume-preserving flow by powers of the \(m\)th mean curvature ⋮ The planar Busemann-Petty centroid inequality and its stability ⋮ Convexity estimates for a nonhomogeneous mean curvature flow ⋮ Convex hypersurfaces evolving by volume preserving curvature flows ⋮ Asymptotic convergence for a class of fully nonlinear curvature flows ⋮ Convex hypersurfaces with pinched principal curvatures and flow of convex hypersurfaces by high powers of curvature ⋮ Mixed volume preserving flow by powers of homogeneous curvature functions of degree one

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