Gaussian Curvature of Graph-like Surfaces in 3-Dimensional Hyperbolic Space

Zonglao Zhang, Zhufeng Wang


In this paper, we investigate the Gaussian curvature of graph-like surfaces in 3-dimensional hyperbolic space. We prove that the graph  defined by a radially symmetric function with nonpositive Gaussian curvature is necessarily a surface with Gaussian curvature zero.

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Journal of Mathematics Research   ISSN 1916-9795 (Print)   ISSN 1916-9809 (Online)

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