Description |
1 online resource (494 pages) |
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text file |
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58.95 |
Series |
Monographs and research notes in mathematics |
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Monographs and research notes in mathematics.
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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. |
Bibliography |
Includes bibliographical references (pages 421-443) and index. |
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. |
Subject |
Submanifolds.
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Holonomy groups.
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Sous-variétés (Mathématiques) |
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Groupes d'holonomie. |
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Holonomy groups |
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Submanifolds |
Added Author |
Console, Sergio, author.
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Olmos, Carlos, author.
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Other Form: |
Print version : 9781482245158 |
ISBN |
1482245167 (PDF ebook) |
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9781482245165 |
Standard No. |
KE80913 |
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9781482245165 |
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