Compatible and Almost Compatible Pseudo-Riemannian Metrics

2000/05/05 by O. I. Mokhov, Mokhov, O. I.
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #math.DG

paper · pdf · doi:10.48550/arxiv.math/0005051

18 pages

arxiv created 2000/05/05 · arxiv updated 2009/11/30

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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