关于具有L1-点1-型高斯映射的规则曲面

Pub Date : 2017-03-23 DOI:10.5666/KMJ.2017.57.1.133

Young Ho Kim, N. Turgay

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引用次数: 2

摘要

在本文中，我们研究了三维欧氏空间和Minkowski空间中的规则曲面的高斯映射。对于常向量C∈E和光滑函数f的高斯映射G满足G=f（G+C）的这类曲面，我们得到了它们的分类定理，其中表示Cheng Yau算子。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On the Ruled Surfaces with L1-Pointwise 1-Type Gauss Map

In this paper, we study ruled surfaces in 3-dimensional Euclidean and Minkowski space in terms of their Gauss map. We obtain classification theorems for these type of surfaces whose Gauss map G satisfying G = f(G+C) for a constant vector C ∈ E and a smooth function f, where denotes the Cheng-Yau operator.

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