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Pseudo-Riemannian Geometry in Terms of Multi-Linear Brackets

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Abstract

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-)Kähler geometry.

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Authors and Affiliations

  1. Department of Mathematics, Linköping University, 581 83, Linköping, Sweden

    Joakim Arnlind

  2. Fachbereich Mathematik, Universität Tübingen, Auf der Morgenstelle 10, 72076, Tübingen, Germany

    Gerhard Huisken

Authors
  1. Joakim Arnlind
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  2. Gerhard Huisken
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Correspondence to Joakim Arnlind.

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Arnlind, J., Huisken, G. Pseudo-Riemannian Geometry in Terms of Multi-Linear Brackets. Lett Math Phys 104, 1507–1521 (2014). https://doi.org/10.1007/s11005-014-0723-0

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  • DOI: https://doi.org/10.1007/s11005-014-0723-0

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