Algebraic Geodesics on Three-Dimensional Quadrics

作者:Kai Yue*
来源:Zeitschrift fur Naturforschung Section A-A Journal of Physical Sciences, 2015, 70(12): 1049-1054.
DOI:10.1515/zna-2015-0285

摘要

By Hamilton-Jacobi method, we study the problem of algebraic geodesics on the third-order surface. By the implicit function theorem, we proved the existences of the real geodesics which are the intersections of two algebraic surfaces, and we also give some numerical examples.

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