Morse inequalities for the area functional

IF 1.3 1区数学 Q1 MATHEMATICS

Journal of Differential Geometry Pub Date : 2020-03-03 DOI:10.4310/jdg/1685121320

F. C. Marques, Rafael Montezuma, A. Neves

引用次数: 10

Abstract

In this article we prove the strong Morse inequalities for the area functional in codimension one, assuming that the ambient dimension satisfies $3 \leq (n + 1) \leq 7$, in both the closed and the boundary cases.

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区域泛函的Morse不等式

在本文中，我们证明了余维1中面积泛函的强Morse不等式，假设环境维数在闭合和边界情况下都满足$3\leq（n+1）\leq7$。

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

Journal of Differential Geometry 数学-数学

CiteScore

3.40

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Publishes the latest research in differential geometry and related areas of differential equations, mathematical physics, algebraic geometry, and geometric topology.