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Collineations in Path-Space


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1 Poona, India
     

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Curves representing solutions of (1) can be regarded as the generalized autoparallel lines or paths of a space, and the intrinsic differential geometry thereof is developed from two main assumptions: (a) the tensor invariance of all fundamental equations, including (1), and (b) the existence of a vectorial operator, the vanishing of which defines a parallelism making solutions of (1) autoparallel lines.
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  • Collineations in Path-Space

Abstract Views: 237  |  PDF Views: 0

Authors

D. D. Kosambi
Poona, India

Abstract


Curves representing solutions of (1) can be regarded as the generalized autoparallel lines or paths of a space, and the intrinsic differential geometry thereof is developed from two main assumptions: (a) the tensor invariance of all fundamental equations, including (1), and (b) the existence of a vectorial operator, the vanishing of which defines a parallelism making solutions of (1) autoparallel lines.