开放非负弯曲流形的指标理论与变形

IF 1.3 1区数学 Q1 MATHEMATICS

Journal of Differential Geometry Pub Date : 2018-05-06 DOI:10.4310/jdg/1669998181

I. Belegradek

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引用次数: 1

摘要

我们用Hitchin的指数论技术证明了某些开自旋流形上非负截面曲率的完备黎曼度量空间在无穷多次上具有非平凡的同伦群。独立感兴趣的一个新成分是具有圆柱端的度量子空间的同伦密度。

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Index theory and deformations of open nonnegatively curved manifolds

We use an index-theoretic technique of Hitchin to show that the space of complete Riemannian metrics of nonnegative sectional curvature on certain open spin manifolds has nontrivial homotopy groups in infinitely many degrees. A new ingredient of independent interest is homotopy density of the subspace of metrics with cylindrical ends.

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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.