CR Submanifolds of Complex Projective Space - Couverture souple

Livre 11 sur 70: Developments in Mathematics

Djoric, Mirjana; Okumura, Masafumi

 
9781441904355: CR Submanifolds of Complex Projective Space

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Synopsis

1. Complex manifold.- 2. Almost complex structure.- 3. Complex vector space complexification.- 4. Kähler manifold.- 5. Structure equations of a submanifold.- 6. Submanifolds of a Euclidean space.- 7. Submanifolds of a complex manifold.- 8. The Levi form.- 9. The principal circle bundle S^{2n+1}({\bf P}^n({\bf C}),S^1).- 10. Submersion and immersion.- 11. Hypersurfaces of a Riemannian manifold of constant curvature.- 12. Hypersurfaces of a sphere S^{n+1}(1/a).- 13. Hypersurfaces of a sphere with parallel shape operator.- 14. Codimension reduction of a submanifold.- 15. CR submanifolds of maximal CR dimension.- 16. Real hypersurfaces of a complex projective space.- 17. Tubes around submanifolds.- 18. Levi form of CR submanifolds of maximal CR dimension of a complex space form.- 19. Eigenvalues of the shape operator A of CR submanifolds of maximal CR dimension of a complex space form.- 20. CR submanifolds of maximal CR dimension satisfying the condition h(FX,Y)+h(X,FY)=0.- 21. Contact CR submanifolds of maximal CR dimension.- 22. Invariant submanifolds of real hypersurfaces of complex space forms.- 23. The scalar curvature of CR submanifolds of maximal CR dimension.

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Autres éditions populaires du même titre

9781441904331: CR Submanifolds of Complex Projective Space

Edition présentée

ISBN 10 :  1441904336 ISBN 13 :  9781441904331
Editeur : Springer-Verlag New York Inc., 2009
Couverture rigide