Portal de Periódicos da CAPES

Isometric Embedding of Riemannian Manifolds in Euclidean Spaces

2006; American Mathematical Society; Linguagem: Inglês

10.1090/surv/130

0076-5376

Qing Han, Jiaxing Hong,

Advanced Mathematical Modeling in Engineering

Isometric embedding of Riemannian manifolds: Fundamental theorems Surfaces in low dimensional Euclidean spaces Local isometric embedding of surfaces in $\mathbb{R}^3$: Basic equations Nonzero Gauss curvature Gauss curvature changing sign cleanly Nonnegative Gauss curvature Nonpositive Gauss curvature Global isometric embedding of surfaces in $\mathbb{R}^3$: Deformation of surfaces The Weyl problem Complete negatively curved surfaces Boundary value problems Bibliography Index.