Laden Sie Bücher online kostenlos herunter Harmonic Maps between Riemannian Polyhedra in German PDF CHM ePub by James Eelles, Bent Fuglede 9780521773119

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Harmonic Maps between Riemannian Polyhedra
E-Book:

Harmonic Maps between Riemannian Polyhedra

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Verfügbarkeit:Auf Lager
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Auflage:New.
Veröffentlichungsdatum:
30 Jul 2001
Sprache:Deutsche, English
Preis:-
Editor:
CAMBRIDGE UNIVERSITY PRESS
Ursprüngliches Format:Hardback 312 Seiten. 156x 228x 22mm| 580.61g
ISBN:
0521773113
ISBN13:
9780521773119
Autor:
Veröffentlichung Stadt / Land:Cambridge United Kingdom
Keyword-Optionen: Geometry 
Geprüft:
13/NOVEMBER/19
Beschreibung:
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.

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