Motions in Kawaguchi spaces with special metric
In: Russian Mathematics, Jg. 51 (2007-12-01), S. 78-83
Online
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Zugriff:
where L is a scalar function (Lagrangian) of the arguments xi, ẋi = dx i dt , ẍ i = d 2xi dt2 , . . . , x(k) i = d kxi dtk which are the coordinates of a k-velocity of a point x ∈ M . It is assumed that integral (1) takes nonnegative values and does not depend on the parametrization of a curve. Consider an n-dimensional (n is even) Kawaguchi space with metric (1) defined by a Lagrangian of the form [2]
Titel: |
Motions in Kawaguchi spaces with special metric
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Autor/in / Beteiligte Person: | Panzhenskii, V. I. |
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Zeitschrift: | Russian Mathematics, Jg. 51 (2007-12-01), S. 78-83 |
Veröffentlichung: | Allerton Press, 2007 |
Medientyp: | unknown |
ISSN: | 1934-810X (print) ; 1066-369X (print) |
DOI: | 10.3103/s1066369x07120067 |
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