Geometric Calculus of the Gauss Map
Differential Geometry
2019-01-23 v1
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
Cite
@article{arxiv.1901.06870,
title = {Geometric Calculus of the Gauss Map},
author = {Peter Lewintan},
journal= {arXiv preprint arXiv:1901.06870},
year = {2019}
}