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arXiv · 1910.08059

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

Hongbing Qiu·Linlin Sun
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Abstract

In this paper, we firstly establish a new volume growth estimate for spacelike entire graphs in the pseudo-Euclidean space $\mathbb{R}^{m+n}_n$. Then by using this volume growth estimate and the Co-Area formula, we prove various rigidity results for spacelike entire self-shrinking graphs.

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Hongbing Qiu, Linlin Sun. 2019-10-17. Rigidity theorems of spacelike entire self-shrinking graphs in the pseudo-Euclidean space. https://arxiv.org/abs/1910.08059

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