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Quasi-Spherical Metrics and Applications

✍ Scribed by Yuguang Shi; Luen-Fai Tam

Publisher
Springer
Year
2004
Tongue
English
Weight
205 KB
Volume
250
Category
Article
ISSN
0010-3616

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✦ Synopsis

In this paper, using the idea of Bartnik [B2] on quasi-spherical metrics we continue our study on the boundary behaviors of compact manifolds with nonnegative scalar curvature and nonempty boundary. Unlike the previous work [ST] of the authors and the work of Liu-Yau [LY], we only assume each boundary component has nonnegative curvature which is not identically zero. We also study the case that the boundary is embedded in the quotient of the infinity of the Euclidean space over a finite group. The regularity of the black hole boundary condition of quasi-spherical metrics is also discussed.

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