Parallel spinors on Lorentzian Weyl spaces

被引：3

作者：

Dikarev, Andrei ^{[1
]}

Galaev, Anton S. ^{[2
]}

机构：

[1] Masaryk Univ, Dept Math & Stat, Fac Sci, Kotlarska 2, Brno 61137, Czech Republic

[2] Univ Hradec Kralove, Fac Sci, Rokitanskeho 62, Hradec Kralove 50003, Czech Republic

来源：

MONATSHEFTE FUR MATHEMATIK | 2021年 / 196卷 / 01期

关键词：

Weyl connection; Weighted spinor; Parallel spinor; Holonomy group; Einstein-Weyl structure; HOLONOMY GROUPS;

D O I：

10.1007/s00605-021-01569-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Holonomy algebras of Lorentzian Weyl spin manifolds with weighted parallel spinors are found. For Lorentzian Weyl manifolds admitting recurrent null vector fields are introduced special local coordinates similar to Kundt and Walker ones. Using that, the local form of all Lorentzian Weyl spin manifolds with weighted parallel spinors is given. The Einstein-Weyl equation for the obtained Weyl structures is analyzed and examples of Einstein-Weyl spaces with weighted parallel spinors are given.

引用

页码：39 / 58

页数：20

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