Holonomy algebras of pseudo-hyper-Kählerian manifolds of index 4

BEZVITNAYA, Natalia. Holonomy algebras of pseudo-hyper-Kählerian manifolds of index 4. Differential Geometry and its Applications. 2013, vol. 31, No 2, p. 284--299. ISSN 0926-2245. Available from: https://dx.doi.org/10.1016/j.difgeo.2012.11.001.

Basic information

Original name

Holonomy algebras of pseudo-hyper-Kählerian manifolds of index 4

Authors

BEZVITNAYA, Natalia (643 Russian Federation, guarantor, belonging to the institution)

Edition

Differential Geometry and its Applications, 2013, 0926-2245

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Other information

Language

English

Type of outcome

Článek v odborném periodiku

Field of Study

10101 Pure mathematics

Country of publisher

Netherlands

Confidentiality degree

není předmětem státního či obchodního tajemství

Impact factor

Impact factor: 0.585

RIV identification code

RIV/00216224:14310/13:00066089

Organization unit

Faculty of Science

DOI

http://dx.doi.org/10.1016/j.difgeo.2012.11.001

UT WoS

000317448000010

Keywords in English

Pseudo-hyper-Kählerian manifold; Holonomy algebra; Curvature tensor; Symmetric space

Tags

AKR, rivok, ZR

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Abstract

V originále

The holonomy algebra of a pseudo-hyper-Kählerian manifold of signature (4,4n+4) is a subalgebra of sp(1,n+1). Possible holonomy algebras of these manifolds are classified. Using this, a new proof of the classification of simply connected pseudo-hyper-Kählerian symmetric spaces of index 4 is obtained.

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Links

EE2.3.20.0003, research and development project	Name: Algebraické metody v geometrii s potenciálem k aplikacím
GD201/09/H012, research and development project	Name: Algebraické a geometrické metody a struktury Investor: Czech Science Foundation, Algebraic and geometric methods and structures