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VIDEO LIBRARY |
International conference "Geometrical Methods in Mathematical Physics"
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Spaces of diagonal curvature and V. E. Zakharov University of Arizona, Department of Mathematics |
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Abstract: We define the Riemannian space 1. There is at least one coordinate system in 2. In this coordinate system the Riemann curvature tensor presented by a symmetric metric in the space of 2-forms in The Lame' coefficients of the metric tensor of SDC satisfy the Gauss-Lame' equations. Certain classes of their solutions could be found by the use of the "dressing method", which is generalization of the Inverse Scattering method. In this talk we describe more general classes of SDC. Their Lame' coefficients are presented in the explicit form containing a finite number of arbitrary functions of one variable. In the case when An important special class of SDC is the class of spaces embedded in Language: English |