A global pinching theorem of complete $λ$ -hypersurfaces

preprint2015arXivOpen access

In this paper, the pinching problems of complete $λ$ -hypersurfaces in a Euclidean space $\mathbb R^{n+1}$ are studied. By making use of the Sobolev inequality, we prove a global pinching theorem of complete $λ$ -hypersurfaces in a Euclidean space $\mathbb R^{n+1}$ .

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A global pinching theorem of complete $λ$ -hypersurfaces

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A global pinching theorem of complete λλλ-hypersurfaces

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A global pinching theorem of complete $λ$ -hypersurfaces