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https://doi.org/10.1007/s00229-008-0230-7
| Title: | Constant mean curvature spheres in Riemannian manifolds | Authors: | Pacard, F. Xu, X. |
Issue Date: | Mar-2009 | Citation: | Pacard, F., Xu, X. (2009-03). Constant mean curvature spheres in Riemannian manifolds. Manuscripta Mathematica 128 (3) : 275-295. ScholarBank@NUS Repository. https://doi.org/10.1007/s00229-008-0230-7 | 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. © 2008 Springer-Verlag. | Source Title: | Manuscripta Mathematica | URI: | http://scholarbank.nus.edu.sg/handle/10635/103045 | ISSN: | 00252611 | DOI: | 10.1007/s00229-008-0230-7 |
| Appears in Collections: | Staff Publications |
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