Plateau's Problem : An Invitation to Varifold Geometry

ISBN-13: 9780821827475 / Angielski / Miękka / 2001

Frederick Almgren

Opis

This text is an invitation to the world of variational geometry. A central topic is Plateau's Problem, which is concerned with surfaces that model the behaviour of soap films. When trying to resolve the problem, however, one soon finds that smooth surfaces are insufficient: Varifolds are needed. With varifolds, one can obtain geometrically meaningful solutions without having to know in advance all their possible singularities. This tool makes possible new analyses and new results.