Covariant derivative of the curvature tensor of pseudo-Kahlerian manifolds
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62690094%3A18470%2F17%3A50005626" target="_blank" >RIV/62690094:18470/17:50005626 - isvavai.cz</a>
Alternative codes found
RIV/00216224:14310/17:00100713
Result on the web
<a href="https://link.springer.com/article/10.1007%2Fs10455-016-9533-1" target="_blank" >https://link.springer.com/article/10.1007%2Fs10455-016-9533-1</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s10455-016-9533-1" target="_blank" >10.1007/s10455-016-9533-1</a>
Alternative languages
Result language
angličtina
Original language name
Covariant derivative of the curvature tensor of pseudo-Kahlerian manifolds
Original language description
It is well known that the curvature tensor of a pseudo-Riemannian manifold can be decomposed with respect to the pseudo-orthogonal group into the sum of the Weyl conformal curvature tensor, the traceless part of the Ricci tensor and of the scalar curvature. A similar decomposition with respect to the pseudo-unitary group exists on a pseudo-Kahlerian manifold; instead of the Weyl tensor one obtains the Bochner tensor. In the present paper, the known decomposition with respect to the pseudo-orthogonal group of the covariant derivative of the curvature tensor of a pseudo-Riemannian manifold is refined. A decomposition with respect to the pseudo-unitary group of the covariant derivative of the curvature tensor for pseudo-Kahlerian manifolds is obtained. This defines natural classes of spaces generalizing locally symmetric spaces and Einstein spaces.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
<a href="/en/project/GA14-02476S" target="_blank" >GA14-02476S: Variations, geometry and physics</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
ANNALS OF GLOBAL ANALYSIS AND GEOMETRY
ISSN
0232-704X
e-ISSN
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Volume of the periodical
51
Issue of the periodical within the volume
3
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
21
Pages from-to
245-265
UT code for WoS article
000399238500003
EID of the result in the Scopus database
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