Killing Tensor Spinor Forms and Their Application in Riemannian Geometry

被引：1

作者：

Somberg, Petr ^{[1
]}

机构：

[1] Charles Univ Prague, Math Inst, Prague 8, Karlin, Czech Republic

来源：

HYPERCOMPLEX ANALYSIS AND APPLICATIONS | 2011年

关键词：

Riemannian and conformal geometry; Killing spinor forms; Killing tensor spinors; geodesic;

D O I：

10.1007/978-3-0346-0246-4_16

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We introduce the notion of Killing tensor spinor forms as a generalization of Killing forms in Riemannian geometry. In the case of spinor valued forms, the analysis is based on the technique of Howe dual pairs. As an application we show that Killing tensor spinors yield invariants of geodesics of the underlying Riemannian manifold.

引用

页码：233 / 247

页数：15

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