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rdf:type
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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)
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Title
| - The functional definition of generalized geodesics
- The functional definition of generalized geodesics (en)
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skos:prefLabel
| - The functional definition of generalized geodesics
- The functional definition of generalized geodesics (en)
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skos:notation
| - RIV/47813059:19610/00:00000040!RIV/2001/MSM/196101/N
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http://linked.open.../vavai/riv/strany
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http://linked.open...avai/riv/aktivita
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http://linked.open...avai/riv/aktivity
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http://linked.open...iv/cisloPeriodika
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http://linked.open...vai/riv/dodaniDat
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http://linked.open...aciTvurceVysledku
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http://linked.open.../riv/druhVysledku
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http://linked.open...iv/duvernostUdaju
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http://linked.open...titaPredkladatele
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http://linked.open...dnocenehoVysledku
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http://linked.open...ai/riv/idVysledku
| - RIV/47813059:19610/00:00000040
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http://linked.open...riv/jazykVysledku
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http://linked.open.../riv/klicovaSlova
| - Functional definition of geodesics; geodesics of linear connections; geodesics of non-linear connect (en)
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http://linked.open.../riv/klicoveSlovo
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http://linked.open...odStatuVydavatele
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http://linked.open...ontrolniKodProRIV
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http://linked.open...i/riv/nazevZdroje
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http://linked.open...in/vavai/riv/obor
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http://linked.open...ichTvurcuVysledku
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http://linked.open...cetTvurcuVysledku
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http://linked.open...UplatneniVysledku
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http://linked.open...v/svazekPeriodika
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http://linked.open...iv/tvurceVysledku
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http://linked.open...n/vavai/riv/zamer
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issn
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number of pages
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http://localhost/t...ganizacniJednotka
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