Constant mean curvature spheres in Riemannian manifolds

F. Pacard; X. Xu

doi:10.1007/s00229-008-0230-7

Constant mean curvature spheres in Riemannian manifolds

F. Pacard
, X. Xu

Research output: Contribution to journal › Article › peer-review

Abstract

We prove the existence of embedded spheres with large constant mean curvature in any compact Riemannian manifold (M, g). This result partially generalizes a result of R. Ye which handles the case where the scalar curvature function of the ambient manifold (M, g) has non-degenerate critical points.

Original language	English
Pages (from-to)	275-295
Number of pages	21
Journal	Manuscripta Mathematica
Volume	128
Issue number	3
DOIs	https://doi.org/10.1007/s00229-008-0230-7
Publication status	Published - 1 Mar 2009
Externally published	Yes

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Constant mean curvature spheres in Riemannian manifolds

Abstract

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