New Titles  |  FAQ  |  Keep Informed  |  Review Cart  |  Contact Us Quick Search (Advanced Search ) Browse by Subject General Interest Logic & Foundations Number Theory Algebra & Algebraic Geometry Discrete Math & Combinatorics Analysis Differential Equations Geometry & Topology Probability & Statistics Applications Mathematical Physics Math Education

Holomorphic Vector Fields on Compact Kähler Manifolds
A co-publication of the AMS and CBMS.
 SEARCH THIS BOOK:
CBMS Regional Conference Series in Mathematics
1971; 38 pp; softcover
Number: 7
ISBN-10: 0-8218-1656-X
ISBN-13: 978-0-8218-1656-1
List Price: US$20 Member Price: US$16
All Individuals: US\$16
Order Code: CBMS/7

Reviews

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

-- James B. Carrell, Mathematical Reviews

• 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 $$C_1(M)\leq 0$$
• The case $$C_1(M)\geq 0$$
• Study of $$\mathbf a_f$$
• 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 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
• Bibliography