Remarkable operators and commutation formulas on locally conformal Kähler manifolds

Izu Vaisman

Compositio Mathematica (1980)

  • Volume: 40, Issue: 3, page 287-299
  • ISSN: 0010-437X

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Vaisman, Izu. "Remarkable operators and commutation formulas on locally conformal Kähler manifolds." Compositio Mathematica 40.3 (1980): 287-299. <http://eudml.org/doc/89438>.

@article{Vaisman1980,
author = {Vaisman, Izu},
journal = {Compositio Mathematica},
keywords = {Commutation Formulas; Locally Conformal Kaehler Manifold; Harmonic Forms},
language = {eng},
number = {3},
pages = {287-299},
publisher = {Sijthoff et Noordhoff International Publishers},
title = {Remarkable operators and commutation formulas on locally conformal Kähler manifolds},
url = {http://eudml.org/doc/89438},
volume = {40},
year = {1980},
}

TY - JOUR
AU - Vaisman, Izu
TI - Remarkable operators and commutation formulas on locally conformal Kähler manifolds
JO - Compositio Mathematica
PY - 1980
PB - Sijthoff et Noordhoff International Publishers
VL - 40
IS - 3
SP - 287
EP - 299
LA - eng
KW - Commutation Formulas; Locally Conformal Kaehler Manifold; Harmonic Forms
UR - http://eudml.org/doc/89438
ER -

References

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  1. [1] S.I. Goldberg: Curvature and Homology. Academic Press, New York, 1962. Zbl0105.15601MR139098
  2. [2] A. Gray and L.M. Hervella: The sixteen classes of almost Hermitian manifolds and their linear invariants (preprint). Zbl0444.53032MR581924
  3. [3] S. Halperin and D. Lehmann: Cohomologies et classes caractéristiques des choux de Bruxelles. Diff. Topology and Geometry, Proc. Colloq. Dijon1974.Lecture Notes in Math484, Springer-Verlag, Berlin, 1975, 79-120. Zbl0313.57007MR402772
  4. [4] P. Libermann: Sur les structures presque complexes et autres structures infinitésimales régulières. Bull Soc. Math. France, 83 (1955), 195-224. Zbl0064.41702MR79766
  5. [5] A. Lichnerowicz: Théorie globale des connexions et des groupes d'holonomie, Edizione Cremonese, Roma, 1955. Zbl0116.39101
  6. [6] I. Vaisman: Cohomology and Differential Forms, M. Dekker, Inc., New York, 1973. Zbl0267.58001MR341344
  7. [7] I. Vaisman: On locally conformal almost Kähler manifolds, Israel J. of Math.24 (1976), 338-351. Zbl0335.53055MR418003
  8. [8] I. Vaisman: Locally conformal Kähler manifolds with parallel Lee form, Rendiconti di Mat ematicaRoma (to appear). Zbl0447.53032MR557668
  9. [9] A. Weil: Introduction à l'étude des variétés Kählériennes, Hermann, Paris, 1958. Zbl0137.41103MR111056

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