Document Type

Article

Publication Date

8-1997

Abstract

Using the first exit time for Brownian motion from a smoothly bounded domain in Euclidean space, we define two natural functionals on the space of embedded, compact, oriented, unparametrized hypersurfaces in Euclidean space. We develop explicit formulas for the first variation of each of the functionals and characterize the critical points.

Comments

First published in Proceedings of the American Mathematical Society 125.8 (1997), published by the American Mathematical Society.

DOI

10.1090/S0002-9939-97-03925-7