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Holomorphic Vector Fields on Compact Kähler Manifolds
 
Y. Matsushima
A co-publication of the AMS and CBMS
Front Cover for Holomorphic Vector Fields on Compact Kahler Manifolds
Available Formats:
Electronic ISBN: 978-1-4704-2367-4
Product Code: CBMS/7.E
List Price: $21.00
Individual Price: $16.80
Add to cart
Front Cover for Holomorphic Vector Fields on Compact Kahler Manifolds
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Holomorphic Vector Fields on Compact Kähler Manifolds
Y. Matsushima
A co-publication of the AMS and CBMS
Available Formats:
Electronic ISBN:  978-1-4704-2367-4
Product Code:  CBMS/7.E
List Price: $21.00
Individual Price: $16.80
Add to cart
  • Book Details
     
     
    CBMS Regional Conference Series in Mathematics
    Volume: 7; 1971; 38 pp
    MSC: Primary 53; Secondary 32;
  • Table of Contents
     
     
    • Chapters
    • Kähler Geometry
    • Harmonic Forms
    • The 1-form of type (0, 1) corresponding to a holomorphic vector field
    • Laplacian $\Delta _f^{\prime \prime }$
    • An integral formula
    • The case $C_1(M)\le 0$
    • The case $C_1(M)\ge 0$
    • Study of $\mathrm {a}_f$
    • Theorems of Lichnerowicz
    • A remark on holomorphic vector fields on projective algebraic manifolds
    • The Albanese variety of a Kähler manifold and the Jacobi map
    • The case of Hodge manifolds
    • $G$-sheaves
    • The action of $\textrm {Aut}_0(M)$ on complex line bundles over $M$
    • The Lie derivative of a complex line bundle
    • The kernel of the homomorphism $p_F$
    • Proof of the Blanchard Theorem
  • Reviews
     
     

    • Treats in a readable fashion two topics from the theory of vector fields.
      James B. Carrell, Mathematical Reviews
  • Requests
     
     
    Review Copy – for reviewers who would like to review an AMS book
    Accessibility – to request an alternate format of an AMS title
CBMS Regional Conference Series in Mathematics
Volume: 7; 1971; 38 pp
MSC: Primary 53; Secondary 32;
  • Chapters
  • Kähler Geometry
  • Harmonic Forms
  • The 1-form of type (0, 1) corresponding to a holomorphic vector field
  • Laplacian $\Delta _f^{\prime \prime }$
  • An integral formula
  • The case $C_1(M)\le 0$
  • The case $C_1(M)\ge 0$
  • Study of $\mathrm {a}_f$
  • Theorems of Lichnerowicz
  • A remark on holomorphic vector fields on projective algebraic manifolds
  • The Albanese variety of a Kähler manifold and the Jacobi map
  • The case of Hodge manifolds
  • $G$-sheaves
  • The action of $\textrm {Aut}_0(M)$ on complex line bundles over $M$
  • The Lie derivative of a complex line bundle
  • The kernel of the homomorphism $p_F$
  • Proof of the Blanchard Theorem

  • Treats in a readable fashion two topics from the theory of vector fields.
    James B. Carrell, Mathematical Reviews
Review Copy – for reviewers who would like to review an AMS book
Accessibility – to request an alternate format of an AMS title
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