Classification of third-order symmetric Lorentzian manifolds

GALAEV, Anton. Classification of third-order symmetric Lorentzian manifolds. Classical and Quantum Gravity. Institute of Physics, 2015, vol. 32, No 2, p. 1-15. ISSN 0264-9381. Available from: https://dx.doi.org/10.1088/0264-9381/32/2/025001.

Basic information

Original name

Classification of third-order symmetric Lorentzian manifolds

Authors

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

Edition

Classical and Quantum Gravity, Institute of Physics, 2015, 0264-9381

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Other information

Language

English

Type of outcome

Článek v odborném periodiku

Field of Study

10101 Pure mathematics

Country of publisher

United Kingdom of Great Britain and Northern Ireland

Confidentiality degree

není předmětem státního či obchodního tajemství

References:

URL

Impact factor

Impact factor: 2.837

RIV identification code

RIV/00216224:14310/15:00080818

Organization unit

Faculty of Science

DOI

http://dx.doi.org/10.1088/0264-9381/32/2/025001

UT WoS

000347295300003

Keywords in English

third-order symmetric Lorentzian manifold; pp-wave; curvature; holonomy

Tags

AKR, rivok

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Abstract

V originále

Third-order symmetric Lorentzian manifolds, i.e., Lorentzian manifolds with zero third derivative of the curvature tensor, are classified. These manifolds are exhausted by a special type of pp-waves, they generalize Cahen–Wallach spaces and second-order symmetric Lorentzian spaces.

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Links

GA14-02476S, research and development project

Name: Variace, geometrie a fyzika Investor: Czech Science Foundation