The functional definition of geodesics

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dc.creatorKlapka, L.
dc.date1997-12-19
dc.date.accessioned2026-07-07T03:24:37Z
dc.date.available2026-07-07T03:24:37Z
dc.descriptionIn this paper a functional definition of geodesics is introduced which allows to generalize the notion of a geodesic from smooth to topological manifolds. It is shown that in the smooth case the new definition coincides with the classical definition of geodesics of a linear connection. If the 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 does not arise from any connection is presented here.
dc.description12 pages, LaTeX 2.09 file
dc.identifierhttps://arxiv.org/abs/dg-ga/9712007
dc.identifierhttp://arxiv.org/abs/dg-ga/9712007
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/33399
dc.subjectDifferential Geometry
dc.subject39B52, 39B62, 53B05, 53B15, 53C05, 53C22
dc.titleThe functional definition of geodesics
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