Geometric Calculus of the Gauss Map
arXiv:1901.06870 · doi: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.