Prescribing the symmetric function of the eigenvalues of the Schouten tensor
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- by Yan He and Weimin Sheng PDF
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Abstract:
In this paper we study the problem of conformally deforming a metric to a prescribed symmetric function of the eigenvalues of the Schouten tensor on compact Riemannian manifolds with boundary. We prove its solvability and the compactness of the solution set, provided the Ricci tensor is nonnegative-definite.References
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Additional Information
- Yan He
- Affiliation: Centre for Mathematical Sciences, Zhejiang University, Hangzhou 310027, People’s Republic of China
- MR Author ID: 919786
- ORCID: 0000-0002-0004-5642
- Email: helenaig@zju.edu.cn
- Weimin Sheng
- Affiliation: Department of Mathematics, Zhejiang University, Hangzhou 310027, People’s Republic of China
- Email: weimins@zju.edu.cn
- Received by editor(s): January 31, 2010
- Published electronically: October 27, 2010
- Additional Notes: This work was partially supported by NSFC Grants 10771189 and 10831008.
- Communicated by: Matthew J. Gursky
- © Copyright 2010
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 139 (2011), 1127-1136
- MSC (2010): Primary 53C21; Secondary 35J60
- DOI: https://doi.org/10.1090/S0002-9939-2010-10674-3
- MathSciNet review: 2745665