KILLING SPINOR-VALUED FORMS AND THE CONE CONSTRUCTION

被引：1

作者：

Somberg, Petr ^{[1
]}

Zima, Petr ^{[1
]}

机构：

[1] Charles Univ Prague, Math Inst, Sokolovska 83, Prague 8, Karlin, Czech Republic

来源：

ARCHIVUM MATHEMATICUM | 2016年 / 52卷 / 05期

关键词：

pseudo-Riemannian spin manifolds; Killing type equations; cone construction; spinor-valued differential forms;

D O I：

10.5817/AM2016-5-341

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

On a pseudo-Riemannian manifold M we introduce a system of partial differential Killing type equations for spinor-valued differential forms, and study their basic properties. We discuss the relationship between solutions of Killing equations on M and parallel fields on the metric cone over M for spinor-valued forms.

引用

页码：341 / 355

页数：15

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