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

Zonglao Zhang, Zhufeng Wang

Abstract


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.


Full Text: PDF DOI: 10.5539/jmr.v4n1p30

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This work is licensed under a Creative Commons Attribution 3.0 License.

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

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