The functional definition of generalized geodesics

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19610%2F00%3A00000040" target="_blank" >RIV/47813059:19610/00:00000040 - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

The functional definition of generalized geodesics

Original language description

In this paper, a functional definition of geodesics is introduced which allows to generalize the notion of a geodesic from smooth to topological manifolds. In the $ C^infty $ case it coincides with the classical definition of geodesics of a linear connection. If $ C^infty $-smoothness is not required, it is shown by an example that the new definition includes geodesics of non-linear, homogeneous connections. Moreover, an example of generalized geodesics which do not arise from any connection is presented. Finally, some remarks upon flatness and metrizability conditions on topological manifolds are amended.

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

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Continuities

Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2000

Confidentiality

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

Name of the periodical

Aequationes Mathematicae

ISSN

ISSN0001-9054

e-ISSN

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Volume of the periodical

59

Issue of the periodical within the volume

3

Country of publishing house

AT - AUSTRIA

Number of pages

13

Pages from-to

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UT code for WoS article

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EID of the result in the Scopus database

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