Curvature of indefinite almost contact manifolds

被引：0

作者：

Bonome A. ^{[1
]}

Castro R. ^{[1
]}

García-Río E. ^{[2
]}

Hervella L. ^{[1
]}

机构：

[1] Departamento de Xeometría e Topoloxía, Universidade de Santiago de Compostela

[2] Departamento de Análise Matemática, Facultade de Matemáticas, Universidade de Santiago de Compostela

来源：

Journal of Geometry | 1997年 / 58卷 / 1-2期

关键词：

Curvature Tensor; Constant Curvature; Jacobi Operator; Contact Manifold; Local Classification;

D O I：

10.1007/BF01222928

中图分类号：

学科分类号：

摘要：

The curvature tensor of indefinite almost contact manifolds is investigated. By means of the study of the Jacobi operator along spacelike, timelike and null geodesics, spaces of constant curvature are characterized as well as spaces of pointwise constant φ-sectional curvature. As an extension of these conditions we introduce the socalled φ-isotropic spaces and show a local classification of such manifolds. © Birkhäuser Verlag, Basel, 1997.

引用

页码：66 / 86

页数：20

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