Boundary behaviors of spacelike constant mean curvature surfaces in Schwarzschild spacetime

Author:

Li Caiyan,Shi Yuguang,Tam Luen-Fai

Funder

China Postdoctoral Science Foundation

National Key R&D Program of China

Hong Kong RGC General Research Fund

Publisher

Springer Science and Business Media LLC

Reference14 articles.

1. Andersson, L., Iriondo, M.S.: Existence of constant mean curvature hypersurfaces in asymptotically flat spacetimes. Ann. Glob. Anal. Geom. 17(6), 503–538 (1999)

2. Bartnik, R.: Maximal surfaces and general relativity, Miniconference on geometry and partial differential equations, 2 (Canberra, 1986), 24–49. In: Proc. Centre Math. Anal. Austral. Nat. Univ., vol. 12. Austral. Nat. Univ., Canberra (1987)

3. Cheng, S.-Y., Yau, S.-T.: On the regularity of the solution of the n-dimensional Minkowski problem. Commun. Pure Appl. Math. 29(5), 495–516 (1976)

4. Choi, H.I., Treibergs, A.: Gauss maps of spacelike constant mean curvature hypersurfaces of Minkowski space. J. Differ. Geom. 32(3), 775–817 (1990)

5. Choquet-Bruhat, Y.: Maximal submanifolds and submanifolds with constant mean extrinsic curvature of a Lorentzian manifold. Ann. Scuola Norm. Sup. Pisa Cl. Sci. 3(3), 361–376 (1976)

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