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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
38 pp
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 38 pp
 List Price: $21.00 Individual Price:$16.80
• Book Details

CBMS Regional Conference Series in Mathematics
Volume: 71971
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
• Reviews

• Treats in a readable fashion two topics from the theory of vector fields.

James B. Carrell, Mathematical Reviews
• Request Review Copy
Volume: 71971
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
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