Two-symmetric Lorentzian manifolds

ALEKSEEVSKIY, Dmitry and Anton GALAEV. Two-symmetric Lorentzian manifolds. Journal of Geometry and Physics. Amsterdam: Elsevier Science, 2011, vol. 61, No 12, p. 2331-2340. ISSN 0393-0440.

Basic information

• Original name: Two-symmetric Lorentzian manifolds
• Authors: ALEKSEEVSKIY, Dmitry (643 Russian Federation) and Anton GALAEV (643 Russian Federation, guarantor, belonging to the institution).
• Edition: Journal of Geometry and Physics, Amsterdam, Elsevier Science, 2011, 0393-0440.

Other information

• Original language: English
• Type of outcome: Article in a journal
• Field of Study: 10101 Pure mathematics
• Country of publisher: Netherlands
• Confidentiality degree: is not subject to a state or trade secret
• Impact factor: Impact factor: 0.818
• RIV identification code: RIV/00216224:14310/11:00049929
• Organization unit: Faculty of Science
• UT WoS: 000297388500004
• Keywords in English: Two-symmetric Lorentzian manifold; pp-wave; Holonomy algebra; Curvature tensor; Parallel Weyl conformal curvature tensor
• Tags: AKR, rivok

Abstract

We classify two-symmetric Lorentzian manifolds using methods of the theory of holonomy groups. These manifolds are exhausted by a special type of pp-waves and, like the symmetric Cahen–Wallach spaces, they have commutative holonomy.

Links

• GP201/09/P039, research and development project: Name: Holonomie Riemannových supervariet a související geometrické struktury

Investor: Czech Science Foundation, Holonomy of Riemannian supermanifolds and related geometric structures

• MSM0021622409, plan (intention): Name: Matematické struktury a jejich fyzikální aplikace

Investor: Ministry of Education, Youth and Sports of the CR, Mathematical structures and their physical applications