THE GAUSSIAN AND MEAN CURVATURE OF ONE SPECIAL TYPE OF SURFACES

  • Milos Kanka College of Polytechnics Jihlava
Keywords: Tangent Vectors, Unit Normal Vec-Or, First Fundamental Form, Second Fun-Amental Form, Gaussian Curvature, Mean Curvature, Weingarten Map

Abstract

In (Kaňka el al., 2009) we studied the Gaussian curvature and Mean curvature of a special surfaces (1) as nonparametrically defined surfaces. There are different ways in which surfaces of type (1) can be parametrized. The aim of this paper is to give formulas for Gaussian and Mean curvature of one type of special surfaces of the form , where . (1) To reach the formulas of Gaussian and Mean Curvature, we use in this remark parametrical description of (1) in the form where

References

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Published
2012-03-10
Section
Articles