Vol. 194, No. 2, 2000

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Differential geometry of generalized submanifolds

Silvano Delladio

Vol. 194 (2000), No. 2, 285–313
Abstract

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.

Milestones
Published: 1 June 2000
Authors
Silvano Delladio
Dipartimento di Matematica
Università di Trento
38050 Povo
Trento
Italy