Differential Geometry and Symmetric Spaces

Sigurdur Helgason

486 pages, parution le 01/05/2001

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Résumé

Sigurdur Helgason's Differential Geometry and Symmetric Spaces was quickly recognized as a remarkable and important book. For many years, it was the standard text both for Riemannian geometry and for the analysis and geometry of symmetric spaces. Several generations of mathematicians relied on it for its clarity and careful attention to detail. Although much has happened in the field since the publication of this book, as demonstrated by Helgason's own three-volume expansion of the original work, this single volume is still an excellent overview of the subjects. For instance, even though there are now many competing texts, the chapters on differential geometry and Lie groups continue to be among the best treatments of the subjects available. There is also a well-developed treatment of Cartan's classification and structure theory of symmetric spaces. The last chapter, on functions on symmetric spaces, remains an excellent introduction to the study of spherical functions, the theory of invariant differential operators, and other topics in harmonic analysis. This text is rightly called a classic.

L'auteur - Sigurdur Helgason

Sigurdur Helgason was awarded the Steele Prize for Groups and Geometric Analysis and the companion volume, Differential Geometry, Lie Groups and Symmetric Spaces.

Sommaire

Preface to the New Printing
Preface
Suggestions to the Reader
Elementary differential geometry
Lie groups and Lie algebras
Structure of semisimple Lie algebras
Symmetric spaces
Decomposition of symmetric spaces
Symmetric spaces of the noncompact type
Symmetric spaces of the compact type
Hermitian symmetric spaces
On the classification of symmetric spaces
Functions on symmetric spaces
Bibliography
List of notational conventions
Symbols frequently used
Author index
Subject index
Reviews for the first edition

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Caractéristiques techniques

	PAPIER
Éditeur(s)	American Mathematical Society (AMS)
Auteur(s)	Sigurdur Helgason
Parution	01/05/2001
Nb. de pages	486
Format	15,5 x 23,5
Couverture	Relié
Poids	828g
Intérieur	Noir et Blanc
EAN13	9780821827352
ISBN13	978-0-8218-2735-2