Inserted: 14 dec 2001
Journal: Pacific J. Math.
The curvature of a surface can be recovered from the tangent space to the graph of the Gauss map. Exploiting this observation we manage to equip a generalized Gauss graph with the standard tools of differential geometry: Weingarten map, second fundamental form, Riemann curvature tensor. Several variational applications are given.
Keywords: integral currents, generalized curvature, geometric variational problems, generalized Gauss graphs