Inserted: 9 sep 2019
Journal: Adv. Appl. Clifford Algebras
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