Some Notes on k-minimality

IF 0.8 4区数学

数学研究 Pub Date : 2019-06-01 DOI:10.4208/JMS.V52N1.19.05

A. E. Dehkordy

引用次数: 0

Abstract

The concept of minimality is generalized in different ways, one of which is the definition of k-minimality. In this paper k-minimality is studied for minimal hypersurfaces of a Euclidean space under different conditions on the number of principal curvatures. We will also give a counterexample to Lk-conjecture. AMS subject classifications: 53D12, 53C40, 53C42.

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关于k-极小性的一些注记

极小性的概念有不同的推广方式，其中一种是k极小性的定义。本文研究了不同条件下欧几里得空间极小超曲面在主曲率数上的k极小性。我们还将给出lk猜想的一个反例。AMS学科分类:53D12、53C40、53C42。

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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来源期刊

数学研究 MATHEMATICS-

自引率

0.00%

发文量

1109

期刊介绍： Journal of Mathematical Study (JMS) is a comprehensive mathematical journal published jointly by Global Science Press and Xiamen University. It publishes original research and survey papers, in English, of high scientific value in all major fields of mathematics, including pure mathematics, applied mathematics, operational research, and computational mathematics.