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On V-harmonic forms in compact locally conformal Kähler manifolds with the parallel Lee form. (English) Zbl 0434.53022


MSC:

53B35 Local differential geometry of Hermitian and Kählerian structures
53C55 Global differential geometry of Hermitian and Kählerian manifolds
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References:

[1] S. I. GOLDBERG, Curvature and Homology, Academic Press, New York, 1962. · Zbl 0105.15601
[2] T. KASHIWADA, Some properties of locally conformal Kahler manifolds, Hokkaido Math. J., 8 (1979), 191-198. · Zbl 0424.53036
[3] T. KASHIWADA AND S. SATO, On harmonic forms in a compact locally conformal Kahler manifolds with the parallel Lee form, · Zbl 0493.53050
[4] Y. OGAWA, On C-harmonic forms in a compact Sasakian space, Thoku Math. J., 19 (1967), 267-296. · Zbl 0156.41903 · doi:10.2748/tmj/1178243277
[5] Y. OGAWA AND S. TACHIBANA, On Betti numbers of Riemannian manifolds with parallel vector fields, · Zbl 0996.53509
[6] S. TACHIBANA, On harmonic tensors in compact Sasakian spaces, Thoku Math. J., 17 (1965), 271-284. · Zbl 0132.16203 · doi:10.2748/tmj/1178243549
[7] S. TACHIBANA, On a decomposition of C-harmonic forms in compact Sasakian space, Thoku Math. J., ]9 (1967), 198-212. · Zbl 0149.39705 · doi:10.2748/tmj/1178243317
[8] I. VAISMAN, On locally conformal almost Kahler manifolds, Israel J. Math., 24 (1976) , 338-351. · Zbl 0335.53055 · doi:10.1007/BF02834764
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