Compatible flat metrics

We solve the problem of description of nonsingular pairs of compatible flat metrics for the general N-component case. The integrable nonlinear partial differential equations describing all nonsingular pairs of compatible flat metrics (or, in other words, nonsingular flat pencils of metrics) are foun...

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Bibliographic Details
Main Author: Oleg I. Mokhov
Format: Article
Language:English
Published: Hindawi Limited 2002-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/S1110757X02203149