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

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