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Schlagwörter:
Mathematics, Differential Geometry, math.DG,High Energy Physics - Theory, hep-th,Mathematical Physics, math-ph,Mathematics, Mathematical Physics, math.MP
Zusammenfassung:
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.