Mean Curvature Flow and Bernstein-Calabi Results for Spacelike Graphs

2008/10/19 by Guanghan Li, Li, Guanghan, Isabel M. C. Salavessa +1
Mathematics · #35K55 #53C21 #53C42 #53C50 #58D25 #Differential Geometry (math.DG) #FOS: Mathematics #math.DG #msc:35K55 #msc:53C21 #msc:53C42 #msc:53C50 #msc:58D25

paper · pdf · doi:10.48550/arxiv.0810.3371

Contribution to the VIII International Colloquium on Differential Geometry, Santiago de Compostela, Spain, 7-11 July 2008, satellite event of the 5th European Congress of Mathematics

arxiv created 2008/10/19 · arxiv updated 2009/12/01

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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