On 6-dimensional pseudo-Riemannian almost g.o. spaces

Result code in IS VaVaI

RIV/61989592:15310/07:00004544 - isvavai.cz

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

On 6-dimensional pseudo-Riemannian almost g.o. spaces

Original language description

We modify the "Kaplan example" (a six-dimensional nilpotent Lie group which is a Riemannian g.o. space) and we obtain two pseudo-Riemannian homogeneous spaces with noncompact isotropy group. These examples have the property that all geodesics are homogeneous up to a set of measure zero. We also show that the (incomplete) geodesic graphs are strongly discontinuous at the boundary, i.e., the limits along certain curves are always infinite.

Czech name

O šestirozměrných skoro- g.o. prostorech.

Czech description

V práci jsou příklady pseudo-riemannovských skoro-g.o. prostorů v dimenzích 6 a 7 a je studováno chování geodetických grafů v těchto případech.

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

GA201/05/2707: Computer-assisted research in Riemannian and affine geometry

Continuities

Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2007

Confidentiality

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

Name of the periodical

Journal of Geometry and Physics

ISSN

0393-0440

e-ISSN

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Volume of the periodical

57

Issue of the periodical within the volume

1

Country of publishing house

NL - THE KINGDOM OF THE NETHERLANDS

Number of pages

10

Pages from-to

2014-2023

UT code for WoS article

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EID of the result in the Scopus database

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