SYMPLECTIC STRUCTURE ON THE SET OF GEODESICS OF A RIEMANNIAN MANIFOLD

30 January 1991

journal article
research article
Published by World Scientific Pub Co Pte Ltd in International Journal of Modern Physics A

Vol. 06 (03) , 431-444
https://doi.org/10.1142/s0217751x91000265

Abstract

A natural symplectic structure is defined on the set of oriented geodesics of a Riemannian or pseudo-Riemannian manifold. Particular examples—the set of straightlines of a plane and the set of light rays of an optical system—are developed.

Keywords

RIEMANNIAN MANIFOLD
SYMPLECTIC STRUCTURE
GEODESICS
RIEMANNIAN OR PSEUDO
STRUCTURE ON THE SET
ORIENTED
NATURAL SYMPLECTIC
LIGHT RAYS

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