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1. Algebraic-geometricn-orthogonal curvilinear coordinate systems and solutions of the associativity equations

Author

I. M. Krichever

Subjects
Algebraic cycle, Curvilinear coordinates, Function field of an algebraic variety, Applied Mathematics, Coordinate system, Mathematical analysis, Field (mathematics), Theta function, Algebraic function, Algebraic curve, Analysis, Mathematics
Abstract

Algebraic-geometrical n-orthogonal curvilinear coordinate systems in a flat space are constructed. They are expressed in terms of the Riemann theta function of auxiliary algebraic curves. The exact formulae for the potentials of algebraic geometrical Egoroff metrics and the partition functions of the corresponding topological field theories are obtained.

Published
1997
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