Gauss Map and Local Approach of Isoparametric Surfaces in Lorentz and Euclidean Space

Abstract

In this study, we determine the isoparametric surfaces and we give the Gauss map of these surfaces by semi symmetric matrix, in Lorentz space. Also we define any chord property and we show that the surfaces which have the chord property corresponds to isoparametric surfaces. Moreover, we consider the chord property locally and we give some examples in the Euclidean space.

Keywords

• Gauss map,Isoparametric surface,Linear operator

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