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  On the classical geometry of embedded manifolds in terms of Nambu brackets

Arnlind, J., Hoppe, J., & Huisken, G. (in preparation). On the classical geometry of embedded manifolds in terms of Nambu brackets.

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-0012-9DE1-C Version Permalink: https://hdl.handle.net/11858/00-001M-0000-0012-9DE3-8
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1003.5981 (Preprint), 192KB
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 Creators:
Arnlind, Joakim1, Author           
Hoppe, Jens2, Author
Huisken, Gerhard2, Author           
Affiliations:
1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_persistent22              
2Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24012              

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Free keywords: Mathematics, Differential Geometry, math.DG,High Energy Physics - Theory, hep-th,Mathematical Physics, math-ph,Mathematics, Mathematical Physics, math.MP
 Abstract: We prove that many aspects of the differential geometry of embedded Riemannian manifolds can be formulated in terms of a multi-linear algebraic structure on the space of smooth functions. In particular, we find algebraic expressions for Weingarten's formula, the Ricci curvature and the Codazzi-Mainardi equations.

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 Dates: 2010-03-31
 Publication Status: Not specified
 Pages: 14 pages
 Publishing info: -
 Table of Contents: -
 Rev. Type: -
 Identifiers: arXiv: 1003.5981
URI: http://arxiv.org/abs/1003.5981
 Degree: -

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