The Weyl curvature tensor of hypersurfaces under the mean curvature flow

DOI10.2478/TMMP-2020-0023zbMath1482.53119OpenAlexW3097929429MaRDI QIDQ2057298

Esmaiel Abedi, Ghodrat Moazzaf

Publication date: 6 December 2021

Published in: Tatra Mountains Mathematical Publications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/tmmp-2020-0023

zbMATH Keywords

maximum principlemean curvature flowsecond fundamental formevolution equationsWeyl curvature tensor

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Flows related to mean curvature (53E10)

Cites Work

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• The evolution of the Weyl tensor under the Ricci flow
• Flow by mean curvature of convex surfaces into spheres
• Asymptotic behavior for singularities of the mean curvature flow
• Four-manifolds with positive curvature operator
• Three-manifolds with positive Ricci curvature
• The Motion of a Surface by Its Mean Curvature. (MN-20)

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