Mean Curvature Flow and Bernstein-Calabi Results for Spacelike Graphs

math.DG

/ Authors

/ 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.

Mean Curvature Flow and Bernstein-Calabi Results for Spacelike Graphs

math.DG

/ Authors

Guanghan Li, Isabel M. C. Salavessa

/ 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.