Holomorphic forms and holomorphic vector fields on compact generalized Hopf manifolds

Kazumi Tsukada

Compositio Mathematica (1994)

  • Volume: 93, Issue: 1, page 1-22
  • ISSN: 0010-437X

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Tsukada, Kazumi. "Holomorphic forms and holomorphic vector fields on compact generalized Hopf manifolds." Compositio Mathematica 93.1 (1994): 1-22. <http://eudml.org/doc/90311>.

@article{Tsukada1994,
author = {Tsukada, Kazumi},
journal = {Compositio Mathematica},
keywords = {compact locally conformal Kähler manifolds; generalized Hopf manifolds; Lee form; holomorphic forms; holomorphic vector fields},
language = {eng},
number = {1},
pages = {1-22},
publisher = {Kluwer Academic Publishers},
title = {Holomorphic forms and holomorphic vector fields on compact generalized Hopf manifolds},
url = {http://eudml.org/doc/90311},
volume = {93},
year = {1994},
}

TY - JOUR
AU - Tsukada, Kazumi
TI - Holomorphic forms and holomorphic vector fields on compact generalized Hopf manifolds
JO - Compositio Mathematica
PY - 1994
PB - Kluwer Academic Publishers
VL - 93
IS - 1
SP - 1
EP - 22
LA - eng
KW - compact locally conformal Kähler manifolds; generalized Hopf manifolds; Lee form; holomorphic forms; holomorphic vector fields
UR - http://eudml.org/doc/90311
ER -

References

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  1. 1 A. El. Kacimi-Alaoui: Opérateurs transversalement elliptiques sur un feuilletage riemannien et applications. Comp. Math.73 (1990) 57-106. Zbl0697.57014MR1042454
  2. 2 A. El Kacimi-Alaoui et G. Hector: Decomposition de Hodge basique pour un feuilletage riemannien. Ann. Inst. Fourier36 (1986) 207-227. Zbl0586.57015MR865667
  3. 3 A. Frölicher: Relations between the cohomology groups of Dolbeault and topological invariants. Proc. Nat. Acad. Sci. U.S.A.41 (1955) 641-644. Zbl0065.16502MR73262
  4. 4 T. Kashiwada: On V-harmonic forms in compact locally conformal Kähler manifolds with the parallel Lee form. Kodai Math. J.3 (1980) 70-82. Zbl0434.53022MR569534
  5. 5 S. Nishikawa and P. Tondeur: Transversal infinitesimal automorphisms for harmonic Kähler foliations. Tôhoku Math. J.40 (1988) 599-611. Zbl0664.53014MR972248
  6. 6 P. Tondeur: Foliations on Riemannian manifolds. Universitext, Springer-Verlag, 1988. Zbl0643.53024MR934020
  7. 7 I. Vaisman: On locally conformal almost Kähler manifolds. Israel J. Math.24 (1976) 338-351. Zbl0335.53055MR418003
  8. 8 I. Vaisman: Locally conformal Kähler manifolds with parallel Lee form. Rend. Mat. Roma12 (1979) 263-284. Zbl0447.53032MR557668
  9. 9 I. Vaisman: On locally and globally conformal Kähler manifolds. Trans. Amer. Math. Soc.262 (1980) 533-542. Zbl0446.53048MR586733
  10. 10 I. Vaisman: Generalized Hopf manifolds. Geom. Dedicata13 (1982) 231-255. Zbl0506.53032MR690671

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