A Note on Kaehlerian Manifolds

The main purpose of the present paper is to study nearly Kaehlerian manifolds. We give the condition for an almost Hermitian manifold to be nearly Kaehlerian.

Anahtar Kelimeler:

Hybrid tensor, Hermitian manifold, Kaehlerian manifold, Tachibana operator

A Note on Kaehlerian Manifolds

The main purpose of the present paper is to study nearly Kaehlerian manifolds. We give the condition for an almost Hermitian manifold to be nearly Kaehlerian.

Keywords:

Hybrid tensor, Hermitian manifold, Kaehlerian manifold, Tachibana operator,

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[1] Kobayashi, S., Nomizu, K.: Foundation of Differential Geometry, Interscience Publishers, New York, London, 1963.
[2] Salimov, A.A.: Generalized Yano-Ako operator and the complete lift of tensor fields, Tensor N.S. 55 (2), 142-146, (1994).
[3] Tachibana, S.: Analytic tensor and its generalization, Tohoku Math. J. 12, 208-221, (1960).
[4] Yano, K., Ako, M.: On certain operators associate with tensor fields , Kodai Math. Sem. Rep 20 (4), 414-436, (1968).

ISSN: 1300-0098
Yayın Aralığı: Yılda 6 Sayı
Yayıncı: TÜBİTAK

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