The Journal of the Indian Mathematical Society

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Trajectories and Lines of Force in a Riemannian Space


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1 Anriamalai University, India
     

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Kasner has proved the following Theorems relating to the curvatures of the Trajectories and Lines of force in a plane:-

THEOREM I. The curvature of the Trajectory obtained by starting a particle from rest in any field of force is one-third the curvature of the line of force through the given point.


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  • Trajectories and Lines of Force in a Riemannian Space

Abstract Views: 187  |  PDF Views: 0

Authors

V. Seetharaman
Anriamalai University, India

Abstract


Kasner has proved the following Theorems relating to the curvatures of the Trajectories and Lines of force in a plane:-

THEOREM I. The curvature of the Trajectory obtained by starting a particle from rest in any field of force is one-third the curvature of the line of force through the given point.