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Holomorphic Vector Fields on Compact Kähler Manifolds
A copublication of the AMS and CBMS
Available Formats:
Electronic ISBN: 9781470423674
Product Code: CBMS/7.E
List Price: $21.00
Individual Price: $16.80
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Holomorphic Vector Fields on Compact Kähler Manifolds
A copublication of the AMS and CBMS
Available Formats:
Electronic ISBN:  9781470423674 
Product Code:  CBMS/7.E 
List Price:  $21.00 
Individual Price:  $16.80 

Book DetailsCBMS Regional Conference Series in MathematicsVolume: 7; 1971; 38 ppMSC: Primary 53; Secondary 32;

Table of Contents

Chapters

Kähler Geometry

Harmonic Forms

The 1form 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


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Volume: 7; 1971; 38 pp
MSC: Primary 53; Secondary 32;

Chapters

Kähler Geometry

Harmonic Forms

The 1form 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
Please select which format for which you are requesting permissions.