洛伦兹与欧几里德空间等参曲面的高斯映射与局部逼近

Fundamental Journal of Mathematics and Applications Pub Date : 2020-06-10 DOI:10.33401/fujma.643374

E. Öztürk

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引用次数: 1

摘要

在本研究中，我们确定了等参曲面，并在洛伦兹空间中用半对称矩阵给出了这些曲面的高斯映射。我们还定义了任何弦性质并且证明了具有弦性质的曲面对应于等参曲面。此外，我们还考虑了弦的局部性质，并给出了一些在欧几里得空间中的例子。

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

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.

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Fundamental Journal of Mathematics and Applications

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