On a Generalization of Curvature Homogeneous Spaces

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F13%3A10173718" target="_blank" >RIV/00216208:11320/13:10173718 - isvavai.cz</a>

Alternative codes found

RIV/61989592:15310/13:33116782

Result on the web

<a href="http://dx.doi.org/10.1007/s00025-011-0177-y" target="_blank" >http://dx.doi.org/10.1007/s00025-011-0177-y</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s00025-011-0177-y" target="_blank" >10.1007/s00025-011-0177-y</a>

Result language

angličtina

Original language name

On a Generalization of Curvature Homogeneous Spaces

Original language description

Sekigawa proved in 1977 that a 3-dimensional Riemannian manifold which is curvature homogeneous up to order 1 in the sense of I.M. Singer is always locally homogeneous. We deal here with the modification of the curvature homogeneity which is said to be "of type (1, 3)". We give example of a 3-dimensional Riemannian manifold which is curvature homogeneous up to order 1 in the modified sense but still not locally homogeneous.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

<a href="/en/project/GAP201%2F11%2F0356" target="_blank" >GAP201/11/0356: Riemannian, pseudo-Riemannian and affine differential geometry</a><br>

Continuities

Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2013

Confidentiality

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

Name of the periodical

Results in Mathematics

ISSN

1422-6383

e-ISSN

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Volume of the periodical

63

Issue of the periodical within the volume

1-2

Country of publishing house

CH - SWITZERLAND

Number of pages

6

Pages from-to

129-134

UT code for WoS article

000313870000010

EID of the result in the Scopus database

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