J 2021

Parallel spinors on Lorentzian Weyl spaces

DIKAREV, Andrei and Anton S. GALAEV

Basic information

Original name

Parallel spinors on Lorentzian Weyl spaces

Authors

DIKAREV, Andrei (643 Russian Federation, belonging to the institution) and Anton S. GALAEV (guarantor)

Edition

Monatshefte für Mathematik, Springer, 2021, 0026-9255

Other information

Language

English

Type of outcome

Článek v odborném periodiku

Field of Study

10101 Pure mathematics

Country of publisher

Austria

Confidentiality degree

není předmětem státního či obchodního tajemství

References:

Impact factor

Impact factor: 0.901

RIV identification code

RIV/00216224:14310/21:00123684

Organization unit

Faculty of Science

UT WoS

000650203300001

Keywords in English

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

Tags

Tags

International impact, Reviewed
Změněno: 12/1/2022 16:42, Mgr. Marie Šípková, DiS.

Abstract

V originále

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.

Links

MUNI/A/1160/2020, interní kód MU
Name: Matematické struktury 10 (Acronym: Matematické struktury 10)
Investor: Masaryk University