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arXiv · 1901.06870

Geometric Calculus of the Gauss Map

Peter Lewintan
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Abstract

In this paper we connect classical differential geometry with the concepts from geometric calculus. Moreover, we introduce and analyze a more general Laplacian for multivector-valued functions on manifolds. This allows us to formulate a higher codimensional analog of Jacobi`s field equation.

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Peter Lewintan. 2019-01-21. Geometric Calculus of the Gauss Map. https://doi.org/10.1007/s00006-016-0727-1

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