Calculus of Variations and Geometric Measure Theory
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P. Lewintan

Geometric Calculus of the Gauss Map

created by lewintan on 09 Sep 2019

[BibTeX]

Published Paper

Inserted: 9 sep 2019

Journal: Adv. Appl. Clifford Algebras
Volume: 27
Number: 1
Pages: 503–521
Year: 2017
Doi: https://doi.org/10.1007/s00006-016-0727-1

ArXiv: 1901.06870 PDF

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.

Keywords: minimal surfaces, harmonic functions, Clifford algebra , Differential geometry

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