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THE GAUSSIAN AND MEAN CURVATURE OF ONE SPECIAL TYPE OF SURFACES

Miloš Kaňka

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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

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What this paper is about

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

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Available 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

Key concepts: Gaussian curvature, Mean curvature, Curvature, Gaussian, Type (biology), Mathematics, Center of curvature, Mathematical analysis

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