关于具有L1-点1-型高斯映射的规则曲面

IF 0.6 Q3 MATHEMATICS

Kyungpook Mathematical Journal 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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来源期刊

Kyungpook Mathematical Journal MATHEMATICS-

CiteScore

1.30

自引率

0.00%

发文量

期刊介绍： Kyungpook Mathematical Journal is an international journal devoted to significant research concerning all aspects of mathematics. The journal has a preference for papers having a broad interest. One volume of the journal is published every year. Each volume until volume 42 consisted of two issues; however, starting from volume 43(2003), each volume consists of four issues. Authors should strive for expository clarity and good literary style. Manuscripts should be prepared as follows. The first page must consist of a short descriptive title, followed by the name(s) and address(es) of the author(s) along with an electronic address if available.