CR Submanifolds of Complex Projective Space

CR Submanifolds of Complex Projective Space

Masafumi Okumura / Mirjana Djoric

146,70 €
IVA incluido
Disponible
Editorial:
Springer Nature B.V.
Año de edición:
2012
Materia
Cálculo y análisis matemático
ISBN:
9781461424772
146,70 €
IVA incluido
Disponible

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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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Otros libros del autor

  • CR Submanifolds of Complex Projective Space
    Masafumi Okumura / Mirjana Djoric
    Althoughsubmanifoldscomplexmanifoldshasbeenanactive?eldofstudyfor many years, in some sense this area is not su?ciently covered in the current literature. This text deals with the CR submanifolds of complex manifolds, with particular emphasis on CR submanifolds of complex projective space, and it covers the topics which are necessary for learning the ...