The Weyl Curvature Tensor of Hypersurfaces Under the Mean Curvature Flow

In this paper, we study the evolution of the Weyl curvature tensor W of hypersurfaces in 𝕉ⁿ⁺¹ under the mean curvature flow. We find a bound for the Weyl curvature tensor of hypersurfaces during the evolution in terms of time. As a consequence, we suppose that the initial hypersurface is conformally flat, i.e., W =0 at t = 0 and then we find an upper estimate for W during the evolution in terms of time.

Język:: Angielski

Częstotliwość wydawania:: 3 razy w roku
Dziedziny czasopisma:: Matematyka, Matematyka ogólna

Kanał RSS czasopisma

The Weyl Curvature Tensor of Hypersurfaces Under the Mean Curvature Flow

Ghodrat Moazzaf

Esmaiel Abedi

Data publikacji: 04 lis 2020

Zakres stron: 143 - 156

Otrzymano: 18 sie 2020

DOI: https://doi.org/10.2478/tmmp-2020-0023

Słowa kluczoweEvolution equations, maximum principle, mean curvature flow, second fundamental form, Weyl curvature tensor

© 2020 Ghodrat Moazzaf et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Słowa kluczowe
Evolution equations, maximum principle, mean curvature flow, second fundamental form, Weyl curvature tensor