Mean Curvature Flow and Bernstein-Calabi Results for Spacelike Graphs
Guanghan Li, Isabel M.C. Salavessa
TL;DR
This paper surveys research on spacelike graphs in pseudo-Riemannian products, focusing on curvature results, mean curvature flow, and applications to homotopy of maps between Riemannian manifolds.
Contribution
It consolidates and discusses recent results on Bernstein-Calabi type theorems and mean curvature flow for spacelike graphs, highlighting new insights and applications.
Findings
Bernstein-Calabi results for spacelike graphs
Mean curvature flow behavior in pseudo-Riemannian settings
Applications to homotopy of maps between Riemannian manifolds
Abstract
This is a survey of our work on spacelike graphic submanifolds in pseudo-Riemannian products, namely on Heinz-Chern and Bernstein-Calabi results and on the mean curvature flow, with applications to the homotopy of maps between Riemannian manifolds.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Geometry and complex manifolds · Topological and Geometric Data Analysis