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Holomorphic Vector Fields on Compact Kähler Manifolds
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

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Holomorphic Vector Fields on Compact Kähler Manifolds
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 |
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Book DetailsCBMS Regional Conference Series in MathematicsVolume: 7; 1971; 38 ppMSC: Primary 53; Secondary 32;
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Table of Contents
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Chapters
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Kähler Geometry
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Harmonic Forms
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The 1-form of type (0, 1) corresponding to a holomorphic vector field
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Laplacian $\Delta _f^{\prime \prime }$
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An integral formula
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The case $C_1(M)\le 0$
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The case $C_1(M)\ge 0$
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Study of $\mathrm {a}_f$
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Theorems of Lichnerowicz
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A remark on holomorphic vector fields on projective algebraic manifolds
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The Albanese variety of a Kähler manifold and the Jacobi map
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The case of Hodge manifolds
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$G$-sheaves
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The action of $\textrm {Aut}_0(M)$ on complex line bundles over $M$
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The Lie derivative of a complex line bundle
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The kernel of the homomorphism $p_F$
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Proof of the Blanchard Theorem
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Reviews
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Treats in a readable fashion two topics from the theory of vector fields.
James B. Carrell, Mathematical Reviews
-
-
RequestsReview Copy – for reviewers who would like to review an AMS bookAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Reviews
- Requests
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
Please select which format for which you are requesting permissions.