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Some remarks concerning elliptic coordinates. (Russian. English summary) Zbl 0539.53049

The paper contains an outline of a theory of elliptic coordinates exposed by an intrinsic method. Some theorems on geodesics and geodesic flows are given. Generalizations of gravitational fields of an ellipsoidal mass are discussed.
Reviewer: A.Szybiak

MSC:

53C80 Applications of global differential geometry to the sciences
53C22 Geodesics in global differential geometry
70H20 Hamilton-Jacobi equations in mechanics
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