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Constant mean curvature spheres in Riemannian manifolds |
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| Authors: | F. Pacard X. Xu |
| Affiliation: | (1) Laboratoire d’Analyse et de Mathématiques Appliquées, Université Paris 12, Creteil Cedex, France;(2) Institut Universitaire de France, Paris, France;(3) Department of Mathematics, National University of Singapore, 2 Science drive 2, 117543 Singapore, Singapore |
| 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. |
| Keywords: | KeywordHeading" >Mathematics Subject Classification (2000) 53A10 |
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