Conformal change of the metric on almost anti-Hermitian manifolds
Mileva Prvanović (2012)
Bulletin, Classe des Sciences Mathématiques et Naturelles, Sciences mathématiques
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Mileva Prvanović (2012)
Bulletin, Classe des Sciences Mathématiques et Naturelles, Sciences mathématiques
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Mileva Prvanović (2010)
Bulletin, Classe des Sciences Mathématiques et Naturelles, Sciences mathématiques
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Matsumoto, Koji (1985)
International Journal of Mathematics and Mathematical Sciences
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Koji Matsuo (1999)
Colloquium Mathematicae
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Our main purpose of this paper is to introduce a natural generalization of the Bochner curvature tensor on a Hermitian manifold provided with the Hermitian connection. We will call the pseudo-Bochner curvature tensor. Firstly, we introduce a unique tensor P, called the (Hermitian) pseudo-curvature tensor, which has the same symmetries as the Riemannian curvature tensor on a Kähler manifold. By using P, we derive a necessary and sufficient condition for a Hermitian manifold to be...
Begewadi, C.S., Kumar, E.Girish, Venkatesha (2005)
Novi Sad Journal of Mathematics
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Kazuhiko Takano (1993)
Colloquium Mathematicae
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Tripathi, Mukut Mani, Kim, Jeong-Sik (2004)
Balkan Journal of Geometry and its Applications (BJGA)
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Carlo Alberto Mantica, Luca Guido Molinari (2012)
Colloquium Mathematicae
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We extend a remarkable theorem of Derdziński and Shen, on the restrictions imposed on the Riemann tensor by the existence of a nontrivial Codazzi tensor. We show that the Codazzi equation can be replaced by a more general algebraic condition. The resulting extension applies both to the Riemann tensor and to generalized curvature tensors.
Endo, Hiroshi (1994)
Publications de l'Institut Mathématique. Nouvelle Série
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(1983)
Annales Polonici Mathematici
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S. S. Singh (1983)
Annales Polonici Mathematici
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