The local isometric embedding in $\mathbf{R}^3$ of
 2-dimensional Riemannian manifolds with nonnegative curvature

Chang Shou Lin

doi:10.4310/jdg/1214439563

The local isometric embedding in $\mathbf{R}^3$ of 2-dimensional Riemannian manifolds with nonnegative curvature

Journal of Differential Geometry ◽

10.4310/jdg/1214439563 ◽

1985 ◽

Vol 21 (2) ◽

pp. 213-230 ◽

Cited By ~ 29

Author(s):

Chang Shou Lin

Keyword(s):

Riemannian Manifolds ◽

Isometric Embedding ◽

Nonnegative Curvature ◽

Local Isometric Embedding

The local isometric embedding inR3 of two-dimensional riemannian manifolds with gaussian curvature changing sign cleanly

Communications on Pure and Applied Mathematics ◽

10.1002/cpa.3160390607 ◽

1986 ◽

Vol 39 (6) ◽

pp. 867-887 ◽

Cited By ~ 41

Author(s):

Chang-Shou Lin

Keyword(s):

Riemannian Manifolds ◽

Gaussian Curvature ◽

Isometric Embedding ◽

Two Dimensional ◽

Local Isometric Embedding

Local isometric embedding of two dimensional Riemannian manifolds into $r^3 $ with nonpositive Gaussian curvature

Proceedings of the Japan Academy Series A Mathematical Sciences ◽

10.3792/pjaa.61.211 ◽

1985 ◽

Vol 61 (7) ◽

pp. 211-212 ◽

Cited By ~ 2

Author(s):

Gen Nakamura

Keyword(s):

Riemannian Manifolds ◽

Gaussian Curvature ◽

Isometric Embedding ◽

Two Dimensional ◽

Local Isometric Embedding

Local isometric embedding of four-dimensional Riemannian manifolds

Exact Solutions of Einstein's Field Equations ◽

10.1017/cbo9780511535185.039 ◽

2003 ◽

pp. 580-604

Keyword(s):

Riemannian Manifolds ◽

Isometric Embedding ◽

Local Isometric Embedding

Local Isometric Embedding of Two Dimensional Riemannian Manifolds into $\mathbf{R}^3$ with Nonpositive Gaussian Curvature

Tokyo Journal of Mathematics ◽

10.3836/tjm/1270141807 ◽

1987 ◽

Vol 10 (1) ◽

pp. 241-257 ◽

Cited By ~ 3

Author(s):

Gen NAKAMURA

Keyword(s):

Riemannian Manifolds ◽

Gaussian Curvature ◽

Isometric Embedding ◽

Two Dimensional ◽

Local Isometric Embedding

On the local isometric embedding of trapped surfaces into three-dimensional Riemannian manifolds

Classical and Quantum Gravity ◽

10.1088/1361-6382/aadb39 ◽

2018 ◽

Vol 35 (19) ◽

pp. 195003

Author(s):

Donato Bini ◽

Giampiero Esposito

Keyword(s):

Riemannian Manifolds ◽

Isometric Embedding ◽

Three Dimensional ◽

Trapped Surfaces ◽

Local Isometric Embedding

The local isometric embedding in $\mathbb{R}^3$ of two-dimensional Riemannian manifolds with Gaussian curvature changing sign to finite order on a curve

Journal of Differential Geometry ◽

10.4310/jdg/1180135679 ◽

2007 ◽

Vol 76 (2) ◽

pp. 249-291 ◽

Cited By ~ 10

Author(s):

Marcus A. Khuri

Keyword(s):

Finite Order ◽

Riemannian Manifolds ◽

Gaussian Curvature ◽

Isometric Embedding ◽

Two Dimensional ◽

Local Isometric Embedding

The Local Isometric Embedding Problem for 3-Dimensional Riemannian Manifolds with Cleanly Vanishing Curvature

Communications in Partial Differential Equations ◽

10.1080/03605302.2010.506940 ◽

2010 ◽

Vol 35 (10) ◽

pp. 1802-1826 ◽

Cited By ~ 8

Author(s):

Thomas Edward Poole

Keyword(s):

Riemannian Manifolds ◽

Isometric Embedding ◽

Embedding Problem ◽

3 Dimensional ◽

Local Isometric Embedding

Local isometric embedding of riemannian manifolds with groups of motion

General Relativity and Gravitation ◽

10.1007/bf00766605 ◽

1975 ◽

Vol 6 (1) ◽

pp. 75-78 ◽

Cited By ~ 1

Author(s):

Hubert Goenner

Keyword(s):

Riemannian Manifolds ◽

Isometric Embedding ◽

Local Isometric Embedding

DARBOUX EQUATIONS AND ISOMETRIC EMBEDDING OF RIEMANNIAN MANIFOLDS WITH NONNEGATIVE CURVATURE IN R3

Chinese Annals of Mathematics Series B ◽

10.1142/s0252959999000163 ◽

1999 ◽

Vol 20 (02) ◽

pp. 123-136 ◽

Cited By ~ 7

Author(s):

JIAXING HONG

Keyword(s):

Riemannian Manifolds ◽

Isometric Embedding ◽

Nonnegative Curvature

On the interdependency of the Gauss-Codazzi-Ricci equations of local isometric embedding

General Relativity and Gravitation ◽

10.1007/bf00770733 ◽

1977 ◽

Vol 8 (2) ◽

pp. 139-145 ◽

Cited By ~ 10

Author(s):

Hubert F. Goenner

Keyword(s):

Isometric Embedding ◽

Local Isometric Embedding