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  • 1
    Online-Ressource
    Online-Ressource
    Differential geometry and symmetric spaces (1972)
    New York : Academic Press
    Details
    UID:
    b3kat_BV036962484
    Umfang: 1 Online-Ressource (xiv, 486 p.)
    Ausgabe: 5. printing
    Ausgabe: Online-Ausgabe Elsevier e-book collection on ScienceDirect Sonstige Standardnummer des Gesamttitels: 041169-3
    ISBN: 0123384508 , 9780123384508
    Serie: Pure and applied mathematics 12
    Anmerkung: Includes bibliographical references (p. 457-471) and index
    Weitere Ausg.: Reproduktion von Differential geometry and symmetric spaces c1972
    Sprache: Englisch
    Schlagwort(e): Symmetrischer Raum ; Differentialgeometrie
    URL: Volltext
    Mehr zum Autor: Sigurður Helgason 1927-2023
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
    BibTip Andere fanden auch interessant ...
    Online-Ressource
    Online Zugang
    HWR Berlin
    EUV Frankfurt
    TH Brandenburg
    HTW Berlin
    TH Wildau
    BTU Cottbus
    BHT
  • 2
    Online-Ressource
    Online-Ressource
    Differential geometry and symmetric spaces. (1962)
    New York :Academic Press,
    Details
    UID:
    almahu_9947366434902882
    Umfang: 1 online resource (501 pages)
    ISBN: 1-281-76360-8 , 9786611763602 , 0-08-087324-3
    Serie: Pure and applied mathematics ; 12
    Inhalt: Although much has happened in the field since the publication of this book, this single volume on Riemannian geometry and for the analysis and geometry of symmetric spaces still offers a clear overview of the subjects.
    Anmerkung: Front Cover; Differential Geometry and Symmetric Spaces; Copyright Page; Contents; Preface; Suggestions to the Reader; Chapter I. Elementary Differential Geometry; 1. Manifolds; 2. Tensor Fields; 3. Mappings; 4. Affine Connections; 5. Parallelism; 6. The Exponential Mapping; 7. Covariant Differentiation; 8. The Structural Equations; 9. The Riemannian Connection; 10. Complete Riemannian Manifolds; 11. Isometries; 12. Sectional Curvature; 13. Riemannian Manifolds of Negative Curvature; 14. Totally Geodesic Submanifolds; Exercises; Notes; Chapter II. Lie Groups and Lie Algebras , 1. The Exponential Mapping; 2. Lie Subgroups and Subalgebras; 3. Lie Transformation Groups; 4. Coset Spaces and Homogeneous Spaces; 5. The Adjoint Group; 6. Semisimple Lie Groups; Exercises; Notes; Chapter III. Structure of Semisimple Lie Algebras; 1. Preliminaries; 2. Theorems of Lie and Engel; 3. Cartan Subalgebras; 4. Root Space Decomposition; 5. Significance of the Root Pattern; 6. Real Forms; 7. Cartan Decompositions; Exercises; Notes; Chapter IV. Symmetric Spaces; 1. Affine Locally Symmetric Spaces; 2. Groups of Isometries; 3. Riemannian Globally Symmetric Spaces , 4. The Exponential Mapping and the Curvature; 5. Locally and Globally Symmetric Spaces; 6. Compact Lie Groups; 7. Totally Geodesic Submanifolds. Lie Triple Systems; Exercises; Notes; Chapter V. Decomposition of Symmetric Spaces; 1. Orthogonal Symmetric Lie Algebras; 2. The Duality; 3. Sectional Curvature of Symmetric Spaces; 4. Symmetric Spaces with Semisimple Groups of Isometries; 5. Notational Conventions; 6. Rank of Symmetric Spaces; Exercises; Notes; Chapter VI. Symmetric Spaces of the Noncompact Type; 1. Decomposition of a Semisimple Lie Group , 2. Maximal Compact Subgroups and Their Conjugacy; 3. The Iwasawa Decomposition; 4. Nilpotent Lie Groups; 5. Global Decompositions; 6. The Complex Case; Exercises; Notes; Chapter VII. Symmetric Spaces of the Compact Type; 1. The Contrast between the Compact Type and the Noncompact Type; 2. The Weyl Group; 3. Conjugate Points. Singular Points. The Diagram; 4. Applications to Compact Groups; 5. Control over the Singular Set; 6. The Fundamental Group and the Center; 7. Application to the Symmetric Space U/K; 8. Classification of Locally Isometric Spaces; 9. Appendix. Results from Dimension Theory , Exercises; Notes; Chapter VIII. Hermitian Symmetric Spaces; 1. Almost Complex Manifolds; 2. Complex Tensor Fields. The Ricci Curvature; 3. Bounded Domains. The Kernel Function; 4. Hermitian Symmetric Spaces of the Compact Type and the Noncompact Type; 5. Irreducible Orthogonal Symmetric Lie Algebras; 6. Irreducible Hermitian Symmetric Spaces; 7. Bounded Symmetric Domains; Exercises; Notes; Chapter IX. On the Classification of Symmetric Spaces; 1. Reduction of the Problem; 2. Automorphisms; 3. Involutive Automorphisms; 4. É. Cartan's List of Irreducible Riemannian Globally Symmetric Spaces; 5. Two-Point Homogeneous Spaces. Symmetric Spaces of Rank One. Closed Geodesics , English
    Weitere Ausg.: ISBN 0-12-338450-8
    Sprache: Englisch
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
    BibTip Andere fanden auch interessant ...
    Online-Ressource
    HU Berlin
    FU Berlin
    Charité
  • 3
    Online-Ressource
    Online-Ressource
    Differential geometry and symmetric spaces (1972)
    New York : Academic Press
    Details
    UID:
    gbv_630029997
    Umfang: Online Ressource (xiv, 486 pages)
    Ausgabe: 5. printing
    Ausgabe: Online-Ausg. 2009 Elsevier e-book collection on ScienceDirect Electronic reproduction; Mode of access: World Wide Web
    ISBN: 0123384508 , 9780123384508
    Serie: Pure and applied mathematics 12
    Anmerkung: Includes bibliographical references (pages 457-471) and index. - Print version record , Electronic reproduction; Mode of access: World Wide Web
    Weitere Ausg.: ISBN 0123384508
    Weitere Ausg.: Erscheint auch als Druck-Ausgabe Sigurður Helgason, 1927 - 2023 Differential geometry and symmetric spaces New York [u.a.] : Academic Press, 1972 ISBN 0123384508
    Sprache: Englisch
    Fachgebiete: Wirtschaftswissenschaften , Mathematik
    RVK:
    QH 150
    RVK:
    SK 370
    Schlagwort(e): Electronic books ; Electronic books
    URL: Volltext  (lizenzpflichtig)
    URL: Volltext
    URL: lizenzpflichtig
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
    BibTip Andere fanden auch interessant ...
    Online-Ressource
    Online Zugang
    Stabi Berlin
    UB Potsdam
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