Harmonic Maps between Riemannian Polyhedra

J. Eells, B. Fuglede

ISBN 10: 0521773113 / ISBN 13: 9780521773119

Verlag: Cambridge University Press, GB, 2001

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.

Bestandsnummer des Verkäufers LU-9780521773119

Bibliografische Details

• Titel: Harmonic Maps between Riemannian Polyhedra
• Verlag: Cambridge University Press, GB
• Erscheinungsjahr: 2001
• Sprache: Englisch
• ISBN-10: 0521773113
• ISBN-13: 9780521773119
• Einband: Hardback
• Zustand: New
• Gewicht: 630 Gramm

Über diesen Titel

Inhaltsangabe

A research level book on harmonic maps between singular spaces, by renowned authors, first published in 2001.

Über die Autorin bzw. den Autor

Charlotte y Peter Fiell son dos autoridades en historia, teoría y crítica del diseño y han escrito más de sesenta libros sobre la materia, muchos de los cuales se han convertido en éxitos de ventas. También han impartido conferencias y cursos como profesores invitados, han comisariado exposiciones y asesorado a fabricantes, museos, salas de subastas y grandes coleccionistas privados de todo el mundo. Los Fiell han escrito numerosos libros para TASCHEN, entre los que se incluyen 1000 Chairs, Diseño del siglo XX, El diseño industrial de la A a la Z, Scandinavian Design y Diseño del siglo XXI.