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

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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 ...

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Global Variational Analysis: Weierstrass Integrals on a Riemannian Manifold. (MN-16) 2016, Princeton University Press, New Jersey

ISBN-13: 9780691644400

Hardcover

Global Variational Analysis: Weierstrass Integrals on a Riemannian Manifold. (MN-16) 2015, Princeton University Press, New Jersey

ISBN-13: 9780691617251

Trade paperback

Global Variational Analysis: Weierstrass Integrals on a Riemannian Manifold. (Mn-16) 1976, Princeton University Press, Princeton

ISBN-13: 9780691081816

Trade paperback