Relations on minimal hypersurfaces

Harley M. Flanders

Vol. 29 (1969), No. 1, 83–93

DOI: 10.2140/pjm.1969.29.83

Abstract

In the theory of nonparametric minimal surfaces there is a transformation which replaces a minimal surface by a certain type of convex surface. Construction of this transformation depends on the exactness of certain differential one-forms, a consequence of the minimal surface equation. ln this article analogous systems of (n − 1)-forms are introduced on a minimal n-hypersurface. This leads to new tensors and to relations between them.

Mathematical Subject Classification

Primary: 53.04

Milestones

Received: 8 February 1968

Published: 1 April 1969