Author: Shmuel Weinberger
Edition:
Binding: Hardcover
ISBN: 0691118892
Publisher: Princeton University Press
Edition:
Binding: Hardcover
ISBN: 0691118892
Publisher: Princeton University Press
Computers, Rigidity, And Moduli – The Large Scale Fractal Geometry Of Riemannian
This book is the first to present a new area of mathematical research that combines topology, geometry, and logic. Computers, Rigidity, and Moduli
Computers, Rigidity, and Moduli The Large Scale Fractal Geometry of Riemannian Moduli Space, ISBN-13: 9780691118895, ISBN-10: 0691118892
Shmuel Weinberger seeks to explain and illustrate the implications of the general principle, first emphasized by Alex Nabutovsky, that logical complexity engenders geometric complexity. He provides applications to the problem of closed geodesics, the theory of submanifolds, and the structure of the moduli space of isometry classes of Riemannian metrics with curvature bounds on a given manifold. Ultimately, geometric complexity of a moduli space forces functions defined on that space to have many critical points, and new results about the existence of extrema or equilibria follow.The main sort of algorithmic problem that arises is Download free Computers, Rigidity, and Moduli: The Large-Scale Fractal Geometry of Riemannian Moduli Space (Porter Lectures) from rapidshare, mediafire, 4shared
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