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Steklov Mathematical Institute Seminar
October 25, 2001, Moscow, Steklov Mathematical Institute of RAS, Conference Hall (8 Gubkina)
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Use of the inverse problem method for solving certain classical problems of differential geometry
V. E. Zakharov |
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This page: | 369 |
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Abstract:
By using the dressing method, which is a modern version of the inverse problem method, it is possible to solve the following classical problems of differential geometry.
1. Classification of $N$-orthogonal curvilinear coordinate systems in Euclidean space and in a space of constant curvature. (Formulated in 1813 by Binnet and Dupin.)
2. Description of spaces of flat connections together with their embedding in a Euclidean space.
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