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Holomorphic Vector Fields on Compact Kähler Manifolds

About this Title

Yozo Matsushima

Publication: CBMS Regional Conference Series in Mathematics
Publication Year: 1971; Volume 7
ISBNs: 978-0-8218-1656-1 (print); 978-1-4704-2367-4 (online)
DOI: https://doi.org/10.1090/cbms/007

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Table of Contents

Front/Back Matter

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