The Volume Blow-Up and Characteristic Classes for Transverse, Type-Changing, Pseudo-Riemannian Metrics

被引：0

作者：

Marek Kossowski

Marcus Kriele

机构：

[1] University of South Carolina,Department of Mathematics

[2] Fields Institute,undefined

来源：

Geometriae Dedicata | 1997年 / 64卷

关键词：

characteristic classes; volume blow-up; pseudo-Riemannian metrics; symmetric (0, 2)-tensors.;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Consider a smooth manifold with smooth (0, 2)-tensor which changes bilinear type on a hypersurface. We show that there are natural tensors on this hypersurface which control the smooth extension of sectional, Ricci, and scalar curvature. This enables us to adapt the classical characteristic class construction to a large collection of manifolds with such singular pseudo-Riemannian metrics.

引用

页码：1 / 16

页数：15

共 17 条

[1] The volume blow-up and characteristic classes for transverse, type-changing, pseudo-Riemannian metrics
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[2] TRANSVERSE, TYPE CHANGING, PSEUDO RIEMANNIAN METRICS AND THE EXTENDABILITY OF GEODESICS
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