The preservability of the curvature-adaptedness along the mean curvature flow (Q2168661)
From MaRDI portal
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The preservability of the curvature-adaptedness along the mean curvature flow |
scientific article |
Statements
The preservability of the curvature-adaptedness along the mean curvature flow (English)
0 references
26 August 2022
0 references
A hypersurface in a Riemannian manifold is curvature-adapted if its shape operator and normal Jacobi operator commute. This paper investigates the question: Under what conditions does the mean curvature flow preserve curvature-adaptedness when it starts from a curvature-adapted compact hypersurface in a locally symmetric space?
0 references
mean curvature flow
0 references
curvature-adaptedness
0 references
shape operator
0 references
normal Jacobi operator
0 references
locally symmetric spaces
0 references
0 references
