Global Variational Analysis: Weierstrass Integrals on a Riemannian Manifold. (Mn-16)

This book builds upon the revolutionary discovery made in 1974 that when one passes from function f to a function J of paths joining two points A1A1 the connectivities R1 of the domain of f can be replaced by connectivities R1 over Q, common to the pathwise components of a basic Frechet space of classes of equivalent curves joining A1 to A1. The connectivities R1, termed Frechet numbers, are proved independent of the choice of A1 A1, and of a replacement of Mn by any differential manifold homeomorphic to Mn.

Originally published in 1976.

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Author: Marston Morse
Publisher: Princeton University Press
Published: 04/19/2016
Pages: 270
Binding Type: Hardcover
Weight: 1.51lbs
Size: 10.00h x 7.00w x 0.63d
ISBN: 9780691644400