Integral estimates of conformal metrics
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- by Xingwang Xu
- Proc. Amer. Math. Soc. 124 (1996), 315-324
- DOI: https://doi.org/10.1090/S0002-9939-96-03112-7
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Abstract:
In this article we show that there exists a rational number $\mu$, depending only on the dimension $n (\ge 5)$ of the manifold such that the $\mu$th-power of the conformal factor is bounded in $H^2_2$ norm in terms of volume bound and the square norm bound of the scalar curvature of the conformal metrics. Some applications are also given.References
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Bibliographic Information
- Xingwang Xu
- Affiliation: address Department of Mathematics, National University of Singapore, Singapore 0511
- Email: matxuxw@leonis.nus.sg
- Received by editor(s): June 22, 1994
- Communicated by: \commby Peter Li
- © Copyright 1996 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 124 (1996), 315-324
- MSC (1991): Primary 58G25, 53C21
- DOI: https://doi.org/10.1090/S0002-9939-96-03112-7
- MathSciNet review: 1301536