Covariant derivative of the curvature tensor of pseudo-Kahlerian manifolds

Kód výsledku v 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>

Nalezeny alternativní kódy

RIV/00216224:14310/17:00100713

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

Covariant derivative of the curvature tensor of pseudo-Kahlerian manifolds

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Covariant derivative of the curvature tensor of pseudo-Kahlerian manifolds

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10101 - Pure mathematics

Projekt

<a href="/cs/project/GA14-02476S" target="_blank" >GA14-02476S: Variace, geometrie a fyzika</a><br>

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2017

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

ANNALS OF GLOBAL ANALYSIS AND GEOMETRY

ISSN

0232-704X

e-ISSN

—

Svazek periodika

51

Číslo periodika v rámci svazku

3

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

21

Strana od-do

245-265

Kód UT WoS článku

000399238500003

EID výsledku v databázi Scopus

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