Curvature estimates for immersed hypersurfaces in Riemannian manifolds-Reference-Cited by-同舟云学术

Curvature estimates for immersed hypersurfaces in Riemannian manifolds

Published:2016-08-30 Issue:1 Volume:208 Page:191-215
ISSN:0020-9910
Container-title:Inventiones mathematicae
language:en
Short-container-title:Invent. math.

Author:

Guan Pengfei,Lu Siyuan

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Link

http://link.springer.com/content/pdf/10.1007/s00222-016-0688-y.pdf

Reference37 articles.

1. Alexandrov, A.D.: Existence and uniqueness of a convex surface with a given integral curvature. Doklady Acad. Nauk Kasah SSSR 36, 131–134 (1942)

2. Alexandrov, A.D.: Uniqueness theorems for surfaces in the large. I (Russian), Vestnik Leningrad. Univ. 11, 5–17 (1956) [English translation: AMS Transl. Ser. 2 21, 341–354 (1962)]

3. Brown, J.D., York, J.W.: Quasilocal energy and conserved charges derived from the gravitational action. Phys. Rev. D (3) 47(4), 1407–1419 (1993)

4. Caffarelli, L., Nirenberg, L., Spruck, J.: Nonlinear second order elliptic equations IV: starshaped compact Weigarten hypersurfaces. In: Ohya, Y., Kasahara, K., Shimakura, N. (eds.) Current Topics in Partial Differential Equations, pp. 1–26. Tokyo, Kinokunize (1985)

5. Chang, J.-E., Xiao, L.: The Weyl problem with nonnegative Gauss curvature in hyperbolic space. Can. J. Math. 67(1), 107–131 (2015)

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