Large outlying stable constant mean curvature spheres in initial data sets-Reference-Cited by-同舟云学术

Large outlying stable constant mean curvature spheres in initial data sets

Published:2014-01-08 Issue:3 Volume:197 Page:663-682
ISSN:0020-9910
Container-title:Inventiones mathematicae
language:en
Short-container-title:Invent. math.

Author:

Brendle Simon,Eichmair Michael

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Link

http://link.springer.com/content/pdf/10.1007/s00222-013-0494-8.pdf

Reference18 articles.

1. Alexandrov, A.D.: Uniqueness theorems for surfaces in the large I. Vesnik Lening. Univ. 11, 5–17 (1956)

2. Ambrosetti, A.: Multiplicity results for the Yamabe problem on $$S^n$$ S n . Proc. Natl. Acad. Sci. USA 99, 15252–15256 (2002)

3. Bray, H: The Penrose Inequality in General Relativity and Volume Comparison Theorems Involving Scalar Curvature. PhD thesis, Stanford University (1997)

4. Brendle, S.: Blow-up phenomena for the Yamabe equation. J. Am. Math. Soc. 21, 951–979 (2008)

5. Brendle, S.: Constant mean curvature surfaces in warped product manifolds. Publ. Math. IHÉS 117, 247–269 (2013)

Cited by 17 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. The isoperimetric problem in the Riemannian manifold admitting a non-trivial conformal vector field;Mathematische Annalen;2024-08-03

2. The Willmore Center of Mass of Initial Data Sets;Communications in Mathematical Physics;2022-04-08

3. Adiabatic theory for the area-constrained Willmore flow;Journal of Mathematical Physics;2022-04-01

4. A positive energy theorem for fourth-order gravity;Calculus of Variations and Partial Differential Equations;2022-02-03

5. Global uniqueness of large stable CMC spheres in asymptotically flat Riemannian 3-manifolds;Duke Mathematical Journal;2022-01-15