具有常标量曲率和零高斯曲率的S5极小超曲面

IF 0.7 4区数学 Q3 MATHEMATICS

Differential Geometry and its Applications Pub Date : 2025-09-09 DOI:10.1016/j.difgeo.2025.102279

Qing Cui

引用次数: 0

摘要

我们证明了S5中具有恒定标量曲率和零高斯曲率的闭极小超曲面是完全测地线的，这为强版本的陈氏猜想提供了支持。

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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Minimal hypersurfaces in S5 with constant scalar curvature and zero Gauss curvature

We show that a closed minimal hypersurface in

S^{5}

with constant scalar curvature and zero Gauss curvature is totally geodesic, which gives a support to strong version of Chern conjecture.

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来源期刊

Differential Geometry and its Applications 数学-数学

CiteScore

1.00

自引率

20.00%

发文量

审稿时长

6-12 weeks

期刊介绍： Differential Geometry and its Applications publishes original research papers and survey papers in differential geometry and in all interdisciplinary areas in mathematics which use differential geometric methods and investigate geometrical structures. The following main areas are covered: differential equations on manifolds, global analysis, Lie groups, local and global differential geometry, the calculus of variations on manifolds, topology of manifolds, and mathematical physics.