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Submanifolds and Holonomy, 2nd Edition

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...

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Bibliographic Details
Main Authors: Berndt, Jurgen, Console, Sergio (Author), Olmos, Carlos (Author)
Format: eBook
Language:English
Published: Chapman and Hall/CRC 2016
Edition:2nd edition
Series:Monographs and research notes in mathematics
Subjects:
Groupes D'holonomie
Holonomy Groups / Http://id.loc.gov/authorities/subjects/sh85061538
Submanifolds / Http://id.loc.gov/authorities/subjects/sh85129484
Submanifolds / Fast
Sous-variétés (mathématiques)
Holonomy Groups / Fast
Online Access:
Collection: O'Reilly - Collection details see MPG.ReNa
Table of Contents:
  • Includes bibliographical references (pages 421-443) and index
  • 1. Basics of submanifold theory in space forums
  • 2. Submanifold geometry of orbits
  • 3. The normal holonomy theorem
  • 4. Isoparametric submanifolds and their focal manifolds
  • 5. Rank rigidity of submanifolds and normal holonomy of orbits
  • 6. Homogeneous structures on submanifolds
  • 7. Normal holonomy of complex submanifolds
  • 8. The Berger-Simons holonomy theorem
  • 9. The Skew-Torsion holonomy theorem
  • 10. Submanifolds of Riemannian manifolds
  • 11. Submanifolds of symmetric spaces
  • 12. Polar actions on symmetric spaces of compact type
  • 13. Polar actions on symmetric spaces of noncompact type

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