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

中文翻译：

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拟欧氏空间中类空间整体自收缩图的刚性定理

在本文中，我们首先在伪欧几里得空间中对类空间整图建立新的体积增长估计 ${\mathbb{电阻}}_n^{米+n}$. 然后通过使用这个体积增长估计和 Co-Area 公式，我们证明了类空间整个自收缩图的各种刚性结果。