Carte Harmonic Maps between Riemannian Polyhedra J. EellsB. FugledeM. Gromov

Harmonic Maps between Riemannian Polyhedra

Limbă: engleză
Legare: Copertă tare
Disponibilitate: În depozitul extern
Expediem în 14-21 zile
844.44 lei
Harmonic maps between smooth Riemannian manifolds play a ubiquitous role in differential geometry. E...

Informații despre carte

Limbă
engleză
Legare
Carte - Copertă tare
Publicat
2001
Pagini
312
EAN
9780521773119
ISBN
0521773113
Enbook ID
02042675
Greutate
552
Dimensiuni
152 x 229 x 21

Descriere completă

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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