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
Call Number:Libro Electrónico
Main Authors: Berndt, Jurgen (Author), Console, Sergio (Author), Olmos, Carlos (Author)
Format: Electronic eBook
Language:Inglés
Published: Chapman and Hall/CRC, 2016.
Edition:2nd edition.
Series:Monographs and research notes in mathematics.
Subjects:
Submanifolds.
Holonomy groups.
Sous-variétés (Mathématiques)
Groupes d'holonomie.
Online Access:Texto completo (Requiere registro previo con correo institucional)
Table of Contents:
  • 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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