论文信息 - REALIZATION IN M OF COMPLETE RIEMANNIAN MANIFOLDS WITH NEGATIVE CURVATURE

REALIZATION IN M OF COMPLETE RIEMANNIAN MANIFOLDS WITH NEGATIVE CURVATURE

This paper is concerned with the global smooth isometric immersion in M of complete simply connected negative curved surfaces. A sufficient condition involving the rate of decay of the curvature at infinity is imposed.

HONG JIAXING | H. Jiaxing | Jiaxing Hong

[1] Dirichlet problems for general Monge-Ampere equations , 1992 .

[2] S. Yau. Seminar on Differential Geometry. (AM-102) , 1982 .

[3] A. V. Pogorelov. Extrinsic geometry of convex surfaces , 1973 .

[4] L. Nirenberg. The Weyl and Minkowski problems in differential geometry in the large , 1953 .

[5] H. Lewy,et al. On the Existence of a Closed Convex Surface Realizing a Given Riemannian Metric. , 1938, Proceedings of the National Academy of Sciences of the United States of America.