A Penrose inequality for graphs over Kottler space

作者：Ge Yuxin^*; Wang Guofang; Wu Jie; Xia Chao

来源：Calculus of Variations and Partial Differential Equations, 2015, 52(3-4): 755-782.

DOI：10.1007/s00526-014-0732-y

In this work, we prove an optimal Penrose inequality for asymptotically locally hyperbolic manifolds which can be realized as graphs over Kottler space. Such inequality relies heavily on an optimal weighted Alexandrov-Fenchel inequality for the mean convex star-shaped hypersurfaces in Kottler space.

• 出版日期2015-3
• 单位中国科学技术大学