RIEMANNIAN GEOMETRY AND GEOMETRIC ANALYSIS (Universitext) - Softcover

Jost, Jürgen

 
9783540571131: RIEMANNIAN GEOMETRY AND GEOMETRIC ANALYSIS (Universitext)
Softcover
ISBN 10: 3540571132 ISBN 13: 9783540571131
Verlag: Springer Verlag, 1997

Inhaltsangabe

This textbook introduces techniques from nonlinear analysis at an early stage. Such techniques have recently become an indispensable tool in research in geometry, and they are treated here for the first time in a textbook. Topics include: Differentiable and Riemannian manifolds, metric properties, tensor calculus, vector bundles; the Hodge Theorem for de Rham cohomology; connections and curvature, the Yang-Mills functional; geodesics and Jacobi fields, Rauch comparison theorem and applications; Morse theory (including an introduction to algebraic topology), applications to the existence of closed geodesics; symmetric spaces and Kahler manifolds; the Palais-Smale condition and closed geodesics; Harmonic maps, minimal surfaces.

Die Inhaltsangabe kann sich auf eine andere Ausgabe dieses Titels beziehen.

Reseña del editor

This textbook introduces techniques from nonlinear analysis at an early stage. Such techniques have recently become an indispensable tool in research in geometry, and they are treated here for the first time in a textbook. Topics include: Differentiable and Riemannian manifolds, metric properties, tensor calculus, vector bundles; the Hodge Theorem for de Rham cohomology; connections and curvature, the Yang-Mills functional; geodesics and Jacobi fields, Rauch comparison theorem and applications; Morse theory (including an introduction to algebraic topology), applications to the existence of closed geodesics; symmetric spaces and Kähler manifolds; the Palais-Smale condition and closed geodesics; Harmonic maps, minimal surfaces.

„Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.

Verlag
Springer Verlag
Erscheinungsdatum
1997
Sprache
Englisch
ISBN 10 
3540571132
ISBN 13 
9783540571131
Einband
Tapa blanda
Anzahl der Seiten
412
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
CMN Printpool Inh. Mathis Neumann
https://www.also.com/ec/cms5/en_6000/6000/index.jsp

Friedrich-Karl-Str. 9
Hamburg
Deutschland

Weitere beliebte Ausgaben desselben Titels

9783642212994: Riemannian Geometry and Geometric Analysis

Vorgestellte Ausgabe

ISBN 10:  3642212999 ISBN 13:  9783642212994
Verlag: Springer, 2011
Softcover