On the curvature of nonregular saddle surfaces in the hyperbolic and spherical three‐space

Dimitrios E. Kalikakis

Abstract and Applied Analysis, 2002, vol. 7, issue 3, 113-123

Abstract: This paper proves that any nonregular nonparametric saddle surface in a three‐dimensional space of nonzero constant curvature k, which is bounded by a rectifiable curve, is a space of curvature not greater than k in the sense of Aleksandrov. This generalizes a classical theorem by Shefel′ on saddle surfaces in 𝔼3.

Date: 2002
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https://doi.org/10.1155/S1085337502000799

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:7:y:2002:i:3:p:113-123

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