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Titel: Harmonic Maps Between Riemannian Polyhedra (...
Verlag: Cambridge University Press, Cambridge
Zustand des Schutzumschlags: Good
Art des Buches: Used
Hardcover. Dust jacket is lightly marked. Jacket leading corners, edges and spine ends are slightly worn and creased with minor nicks on spine head and rear lower edge. Hardcover spine ends and leading corners are a little bumped. Pen on page block head. Binding is intact, contents are clean and clear. AM. Buchnummer des Verkäufers 435408
Inhaltsangabe: Harmonic maps between smooth Riemannian manifolds play a ubiquitous role in differential geometry. Examples include geodesics viewed as maps, minimal surfaces, holomorphic maps and Abelian integrals viewed as maps to a circle. The theory of such maps has been extensively developed over the last 40 years, and has significant applications throughout mathematics. This 2001 book extends that theory in full detail to harmonic maps between broad classes of singular Riemannian polyhedra, with many examples being given. The analytical foundation is based on existence and regularity results which use the potential theory of Riemannian polyhedral domains viewed as Brelot harmonic spaces and geodesic space targets in the sense of Alexandrov and Busemann. The work sets out much material on harmonic maps between singular spaces and will hence serve as a concise source for all researchers working in related fields.
Rezension: 'This book can be highly recommended, both to specialists in the field, who will find a direct interest, and to geometers and analysts, who will find a source containing a large amount of material, with precise references. The organization of the chapters is excellent.' Luc Lemaire, Bulletin of the London Mathematical Society
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