About: The functional definition of generalized geodesics     Goto   Sponge   NotDistinct   Permalink

An Entity of Type : http://linked.opendata.cz/ontology/domain/vavai/Vysledek, within Data Space : linked.opendata.cz associated with source document(s)

AttributesValues
rdf:type
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.
  • 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. (en)
Title
  • The functional definition of generalized geodesics
  • The functional definition of generalized geodesics (en)
skos:prefLabel
  • The functional definition of generalized geodesics
  • The functional definition of generalized geodesics (en)
skos:notation
  • RIV/47813059:19610/00:00000040!RIV/2001/MSM/196101/N
http://linked.open.../vavai/riv/strany
  • 201
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • Z(MSM 192400002)
http://linked.open...iv/cisloPeriodika
  • 3
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
  • Klapka, Lubomír
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 711599
http://linked.open...ai/riv/idVysledku
  • RIV/47813059:19610/00:00000040
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • Functional definition of geodesics; geodesics of linear connections; geodesics of non-linear connect (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • AT - Rakouská republika
http://linked.open...ontrolniKodProRIV
  • [4C0829A82AFD]
http://linked.open...i/riv/nazevZdroje
  • Aequationes Mathematicae
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 59
http://linked.open...iv/tvurceVysledku
  • Klapka, Lubomír
http://linked.open...n/vavai/riv/zamer
issn
  • 0001-9054
number of pages
http://localhost/t...ganizacniJednotka
  • 19610
Faceted Search & Find service v1.16.118 as of Jun 21 2024


Alternative Linked Data Documents: ODE     Content Formats:   [cxml] [csv]     RDF   [text] [turtle] [ld+json] [rdf+json] [rdf+xml]     ODATA   [atom+xml] [odata+json]     Microdata   [microdata+json] [html]    About   
This material is Open Knowledge   W3C Semantic Web Technology [RDF Data] Valid XHTML + RDFa
OpenLink Virtuoso version 07.20.3240 as of Jun 21 2024, on Linux (x86_64-pc-linux-gnu), Single-Server Edition (126 GB total memory, 48 GB memory in use)
Data on this page belongs to its respective rights holders.
Virtuoso Faceted Browser Copyright © 2009-2024 OpenLink Software