Grünwald shift spaces

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F13%3A33145774" target="_blank" >RIV/61989592:15310/13:33145774 - isvavai.cz</a>

Result on the web

<a href="http://dx.doi.org/10.5486/PMD.2013.5517" target="_blank" >http://dx.doi.org/10.5486/PMD.2013.5517</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.5486/PMD.2013.5517" target="_blank" >10.5486/PMD.2013.5517</a>

Result language

angličtina

Original language name

Grünwald shift spaces

Original language description

An n-dimensional differentiable shift space S for which in case n=2 there exists an affine connection if S is a Grünwald plane (cf. [J. Mikes and K. Strambach, Result. Math. 53, 153-172 (2009; Zbl 1179.51009)]) admits for n?3 no affine connection. In contrast to this the set of all images of the system of curves arising by shifting the argument from a Grünwald curve C under the translation group of Rn is a system of geodesics with respect to a metrizable affine connection if and only if C is a curve corresponding to parabolas in a suitable coordinate system.

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

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year

2013

Confidentiality

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

Name of the periodical

Publicationes Mathematicae

ISSN

0033-3883

e-ISSN

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Volume of the periodical

83

Issue of the periodical within the volume

1-2

Country of publishing house

HU - HUNGARY

Number of pages

12

Pages from-to

85-96

UT code for WoS article

000323463800006

EID of the result in the Scopus database

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