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arxiv: 1312.5454 · v1 · pith:BWAEAZXYnew · submitted 2013-12-19 · 🧮 math.DG · math-ph· math.MP

Pseudo-Riemannian geometry in terms of multi-linear brackets

classification 🧮 math.DG math-phmath.MP
keywords geometrymulti-linearpseudo-riemanniantermsahleralmostbracketbrackets
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We show that the pseudo-Riemannian geometry of submanifolds can be formulated in terms of higher order multi-linear maps. In particular, we obtain a Poisson bracket formulation of almost (para-)K\"ahler geometry.

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