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Compatible and Almost Compatible Pseudo-Riemannian Metrics

O. I. Mokhov

math.DGarXiv:math/0005051

Abstract

Notions of compatible and almost compatible pseudo-Riemannian metrics, which are motivated by the theory of compatible (local and nonlocal) Poisson structures of hydrodynamic type and generalize the notion of flat pencil of metrics, are introduced and studied.

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