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Your search keyword '"53C44, 53C42, 57R52, 35K55"' showing total 2 results
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2 results on '"53C44, 53C42, 57R52, 35K55"'

1. Homotopy of area decreasing maps by mean curvature flow

Author

Savas-Halilaj, Andreas and Smoczyk, Knut

Subjects
Mathematics - Differential Geometry, Mathematics - Analysis of PDEs, 53C44, 53C42, 57R52, 35K55
Abstract

Let $f:M\to N$ be a smooth area decreasing map between two Riemannian manifolds $(M,\gm)$ and $(N,\gn)$. Under weak and natural assumptions on the curvatures of $(M,\gm)$ and $(N,\gn)$, we prove that the mean curvature flow provides a smooth homotopy of $f$ to a constant map.

Published
2013

2. Homotopy of area decreasing maps by mean curvature flow

Author

Knut Smoczyk and Andreas Savas-Halilaj

Subjects
Mathematics - Differential Geometry, Mean curvature flow, Pure mathematics, General Mathematics, Homotopy, Maximum principle, Mathematics - Analysis of PDEs, Differential Geometry (math.DG), 53C44, 53C42, 57R52, 35K55, FOS: Mathematics, Mathematics::Differential Geometry, Constant (mathematics), Analysis of PDEs (math.AP), Mathematics
Abstract

Let f : M → N be a smooth area decreasing map between two Riemannian manifolds ( M , g M ) and ( N , g N ) . Under weak and natural assumptions on the curvatures of ( M , g M ) and ( N , g N ) , we prove that the mean curvature flow provides a smooth homotopy of f to a constant map.

Published
2013

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