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math.DG2023
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…
math.DG2023
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…