Differential Geometry and Symmetric Spaces

Sigurdur Helgason

ISBN 10: 1470476878 / ISBN 13: 9781470476878

Edité par American Mathematical Society, US, 1962

A propos de cet article

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.

N° de réf. du vendeur LU-9781470476878

Détails bibliographiques

• Titre: Differential Geometry and Symmetric Spaces
• Éditeur: American Mathematical Society, US
• Date de parution: 1962
• Langue: anglais
• ISBN à 10 chiffres: 1470476878
• ISBN à 13 chiffres: 9781470476878
• Reliure: Paperback
• État de l'article: New

A propos de ce titre

Synopsis

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.

À propos de l?auteur

Sigurdur Helgason, Massachusetts Institute of Technology, Cambridge, MA.