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The Gauss image of $\lambda$-hypersurfaces and a Bernstein type problem

Differential Geometry 2014-10-21 v1

Abstract

In this paper, our purpose is to study rigidity theorems for λ\lambda-hypersurfaces in Euclidean space under Gauss map. As a Bernstein type problem for λ\lambda-hypersurfaces, we prove that an entirely graphic λ\lambda-hypersurface in Euclidean space is a hyperplane.

Keywords

Cite

@article{arxiv.1410.5302,
  title  = {The Gauss image of $\lambda$-hypersurfaces and a Bernstein type problem},
  author = {Qing-Ming Cheng and Guoxin Wei},
  journal= {arXiv preprint arXiv:1410.5302},
  year   = {2014}
}

Comments

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R2 v1 2026-06-22T06:29:38.205Z