Compatible and Almost Compatible Pseudo-Riemannian Metrics

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.

18 pages

References in corpus (2)

• Flat pencils of metrics and Frobenius manifolds
• Differential geometry of the space of orbits of a Coxeter group