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Submanifolds and holonomy / Jurgen Berndt (King's College London, United Kingdom); Sergio Console (Universit degli Studi di Torino, Italy); Carlos Enrique Olmos (Universidad Nacional de Córdoba, Argentina).
- Format:
- Book
- Author/Creator:
- Berndt, Jürgen, 1959- author.
- Console, Sergio, author.
- Olmos, Carlos, author.
- Series:
- Monographs and research notes in mathematics.
- Monographs and Research Notes in Mathematics
- Language:
- English
- Subjects (All):
- Submanifolds.
- Holonomy groups.
- Physical Description:
- 1 online resource (484 p.)
- Edition:
- 2nd ed.
- Place of Publication:
- Boca Raton : CRC Press, [2016]
- Language Note:
- English
- Summary:
- Submanifolds and Holonomy, Second Edition explores recent progress in the submanifold geometry of space forms, including new methods based on the holonomy of the normal connection. This second edition reflects many developments that have occurred since the publication of its popular predecessor.New to the Second EditionNew chapter on normal holonom
- Contents:
- Front Cover; Dedication; Contents; List of Figures; List of Tables; Preface to the First Edition; Preface to the Second Edition; Sergio Console (1965-2013); Introduction; Chapter 1: Basics of Submanifold Theory in Space Forms; Chapter 2: Submanifold Geometry of Orbits; Chapter 3: The Normal Holonomy Theorem; Chapter 4: Isoparametric Submanifolds and Their Focal Manifolds; Chapter 5: Rank Rigidity of Submanifolds and Normal Holonomy of Orbits; Chapter 6: Homogeneous Structures on Submanifolds; Chapter 7: Normal Holonomy of Complex Submanifolds; Chapter 8: The Berger-Simons Holonomy Theorem; Chapter 9: The Skew-Torsion Holonomy TheoremChapter 10: Submanifolds of Riemannian Manifolds; Chapter 11: Submanifolds of Symmetric Spaces; Chapter 12: Polar Actions on Symmetric Spaces of Compact Type; Chapter 13: Polar Actions on Symmetric Spaces of Noncompact Type; Appendix A: Basic Material; Bibliography; Back Cover
- Notes:
- A Chapman and Hall book.
- Includes bibliographical references.
- Description based on print version record.
- ISBN:
- 0-429-11351-X
- 1-4822-4516-7
- 9780429113512
- OCLC:
- 988215364
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