Rigidity theorems of spacelike entire self-shrinking graphs in the pseudo-Euclidean space

摘要

In this paper, we firstly establish a new volume growth estimate for spacelike entire graphs in the pseudo-Euclidean space R-n(m+n). Then by using this volume growth estimate and the Co-Area formula, we prove various rigidity results for spacelike entire self-shrinking graphs. (C) 2021 Elsevier Inc. All rights reserved.