J 2022

On Lorentzian connections with parallel skew torsion

ERNST, Igor and Anton GALAEV

Basic information

Original name

On Lorentzian connections with parallel skew torsion

Authors

ERNST, Igor (643 Russian Federation, guarantor, belonging to the institution) and Anton GALAEV (643 Russian Federation)

Edition

Documenta Mathematica, EMS Press, 2022, 1431-0643

Other information

Language

English

Type of outcome

Článek v odborném periodiku

Field of Study

10101 Pure mathematics

Country of publisher

Germany

Confidentiality degree

není předmětem státního či obchodního tajemství

References:

Impact factor

Impact factor: 0.900

RIV identification code

RIV/00216224:14310/22:00133701

Organization unit

Faculty of Science

DOI

UT WoS

001152430100001

Keywords in English

holonomy; Lorentzianmanifold; naturally reductive homogeneous space; parallelskew-symmetric torsion; type II supergravity

Tags

Tags

International impact, Reviewed
Změněno: 9/4/2024 15:18, Mgr. Marie Šípková, DiS.

Abstract

V originále

The paper is devoted to metric connections with parallel skew-symmetric torsion in Lorentzian signature. This is motivated by recent progress in the Riemannian signature and by possible applications to supergravity theories. We provide a complete information about holonomy algebras, torsion and curvature of the considered connections up to the corresponding objects from the Riemannian signature. Various examples are constructed. It is shown how to construct all simply connected Lorentzian naturally reductive homogeneous spaces of arbitrary dimension from Riemannian naturally reductive homogeneous spaces. This leads to complete classification of Lorentzian naturally reductive homogeneous spaces in low dimensions.

Links

EF19_073/0016943, research and development project
Name: Interní grantová agentura Masarykovy univerzity