Cambridge tracts in mathematicsseries number 142 harmonic maps between riemannian polyhedra

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This book covers harmonic maps between singular spaces, with much new material appearing for the first time in book form. It will serve as a concise source and reference for all researchers working in this field or a similar one.



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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Taal: en

Bindwijze: Hardcover

Oorspronkelijke releasedatum: 30 juli 2001

Aantal pagina's: 312

Illustraties: Nee

Hoofdauteur: J. Eells

Tweede Auteur: Bent Fuglede

Co Auteur: Bent Fuglede

Hoofduitgeverij: Cambridge University Press

Editie: New title

Extra groot lettertype: Nee

Product breedte: 152 mm

Product hoogte: 21 mm

Product lengte: 229 mm

Verpakking breedte: 152 mm

Verpakking hoogte: 21 mm

Verpakking lengte: 229 mm

Verpakkingsgewicht: 630 g

EAN: 9780521773119

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