On the curvature of nonregular saddle surfaces in the hyperbolic and spherical three-space
This paper proves that any nonregular nonparametric saddle surface in a three-dimensional space of nonzero constant curvature , which is bounded by a rectifiable curve, is a space of curvature not greater than in the sense of Aleksandrov. This generalizes a classical theorem by Shefel' on saddle surfaces in .
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