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SOME EXAMPLES OF ALGEBRAIC GEODESICS ON QUADRICS

A. M. PERELOMOV

Institute of Theoretical and Experimental Physics, 117259 Moscow, Russia

https://doi.org/10.1142/S1402925109000108Cited by:1 (Source: Crossref)

Abstract

In this note we give the conditions for the existence of algebraic geodesics on some two-dimensional quadrics, namely, on hyperbolic paraboloids and elliptic paraboloids. It appears that in some cases, such geodesics are the rational space curves.

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