On uniqueness and existence of conformally compact Einstein metrics with homogeneous conformal infinity-Reference-Cited by-同舟云学术

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On uniqueness and existence of conformally compact Einstein metrics with homogeneous conformal infinity

Published:2022-02-07 Issue:2 Volume:61 Page:
ISSN:0944-2669
Container-title:Calculus of Variations and Partial Differential Equations
language:en
Short-container-title:Calc. Var.

Author:

Li Gang

Funder

National Natural Science Foundation of China

Fundamental Research Funds of Shandong University

Young Scholars Program of Shandong University

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Analysis

Link

https://link.springer.com/content/pdf/10.1007/s00526-021-02180-6.pdf

Reference48 articles.

1. Anderson, M.: Boundary regularity, uniqueness and non-uniqueness for AH Einstein metrics on $$4$$-manifolds. Adv. Math. 179, 205–249 (2003)

2. Anderson, M.: Einstein metrics with prescribed conformal infinity on $$4$$-manifolds. Geom. Funct. Anal. 18, 305–366 (2008)

3. Anderson, M., Chru$$\acute{\text{s}}$$ciel, P. T., Delay, E.: Non-trivial, static, geodesically complete, vacuum space-times with a negative cosmological constant II ($$n > 4$$), AdS-CFT correspondence : Einstein metrics and their conformal boundaries, IRMA Lectures in Mathematics and Theoretical Physics, 8, 2005, 165–205

4. Andersson, L., Dahl, M.: Scalar curvature rigidity for asymptotically hyperbolic manifolds. Ann. Global Anal. Geo. 16, 1–27 (1998)

5. Besse, A.: Einstein Manifolds. Springer, Berlin (1987)

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. On uniqueness and existence of conformally compact Einstein metrics with homogeneous conformal infinity. II;Science China Mathematics;2024-09-06

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