关于凸性双流形的几何

IF 0.6 4区数学 Q3 MATHEMATICS

Differential Geometry and its Applications Pub Date : 2023-11-23 DOI:10.1016/j.difgeo.2023.102081

Jacob Van Hook

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引用次数: 0

摘要

考虑沿零测地线具有常标量曲率的黎曼流形的完全局部不可约性。存在一个自然定义的开密集子集，在这个子集上我们用几个函数来描述度规，这些函数在等距范围内是唯一确定的。此外，我们还证明了基群不是平凡的就是无限循环的。

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On the geometry of conullity two manifolds

We consider complete locally irreducible conullity two Riemannian manifolds with constant scalar curvature along nullity geodesics. There exists a naturally defined open dense subset on which we describe the metric in terms of several functions which are uniquely determined up to isometry. In addition, we show that the fundamental group is either trivial or infinite cyclic.

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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.