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The Isometric Immersion of Negatively Curved Surfaces with Finite Total Curvature
Wentao Cao, Qing Han, Feimin Huang +1
In this paper, we study the smooth isometric immersion of a complete, simply connected surface with a negative Gauss curvature into the three-dimensional Euclidean space. A fundame…
On the isometric version of Whitney's strong embedding theorem
Wentao Cao, László Székelyhidi
We prove a version of Whitney's strong embedding theorem for isometric embeddings within the general setting of the Nash-Kuiper h-principle. More precisely, we show that any -di…
isometric extensions
Wentao Cao, László Székelyhidi
In this paper we consider the Cauchy problem for isometric immersions. More precisely, given a smooth isometric immersion of a codimension one submanifold we construct is…
Isometric Immersion of Complete Surfaces with Slowly Decaying Negative Gauss Curvature
Wentao Cao, Feimin Huang, Dehua Wang
The isometric immersion of two-dimensional Riemannian manifolds or surfaces in the three-dimensional Euclidean space is a fundamental problem in differential geometry. When the Gau…