Mathematics
3 years ago

New Discovery Links Surface Curvature to Finite Gaussian Curvature in Space

Proceedings of the American Mathematical Society
Index and Total Curvature of Surfaces with Constant Mean Curvature
Manfredo P. do Carmo, Alexandre M. da Silveira

Paper Summary

The article shows that for surfaces with constant mean curvature in hyperbolic space, the index of a specific operator is finite if and only if the total Gaussian curvature is finite.

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New Discovery Links Surface Curvature to Finite Gaussian Curvature in Space

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