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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Displaying similar documents to “On a Curvature Tensor of Kähler Type in an Almost Hermitian and Almost Para-hermitian Manifold”
Conformal change of the metric on almost anti-Hermitian manifolds
Some properties of the locally conformal Kähler manifold
Mileva Prvanović (2010)
Bulletin, Classe des Sciences Mathématiques et Naturelles, Sciences mathématiques
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On the AC-contact Bochner curvature tensor field on almost cosymplectic manifolds.
Endo, Hiroshi (1994)
Publications de l'Institut Mathématique. Nouvelle Série
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On -manifolds
A. Kobotis, Ph.J. Xenos (1994)
Annales mathématiques Blaise Pascal
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The conformal change of the metric of an almost Hermitian manifold applied to the antiholomorphic curvature tensor
Mileva Prvanović (2013)
Communications in Mathematics
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By using the technique of decomposition of a Hermitian vector space under the action of a unitary group, Ganchev [2] obtained a tensor which he named the Weyl component of the antiholomorphic curvature tensor. We show that the same tensor can be obtained by direct application of the conformal change of the metric to the antiholomorphic curvature tensor. Also, we find some other conformally curvature tensors and examine some relations between them.
Pseudo-Bochner curvature tensor on Hermitian manifolds
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...
Almost Hermitian surfaces with vanishing Tricerri-Vanhecke Bochner curvature tensor
Y. Euh, J. Lee, J. H. Park, K. Sekigawa, A. Yamada (2011)
Colloquium Mathematicae
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We study the curvature properties of almost Hermitian surfaces with vanishing Bochner curvature tensor as defined by Tricerri and Vanhecke. Local structure theorems for such almost Hermitian surfaces are provided, and several examples related to these theorems are given.
Compact cosymplectic manifolds of positive constant phi-sectional curvature.
Manuel de León, Juan C. Marrero (1994)
Extracta Mathematicae
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On some compact almost Kähler locally symmetric space.
Oguro, Takashi (1998)
International Journal of Mathematics and Mathematical Sciences
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On Bochner flat para-Kählerian manifolds
Dorota Łuczyszyn (2005)
Open Mathematics
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Let B be the Bochner curvature tensor of a para-Kählerian manifold. It is proved that if the manifold is Bochner parallel (∇ B = 0), then it is Bochner flat (B = 0) or locally symmetric (∇ R = 0). Moreover, we define the notion of tha paraholomorphic pseudosymmetry of a para-Kählerian manifold. We find necessary and sufficient conditions for a Bochner flat para-Kählerian manifold to be paraholomorphically pseudosymmetric. Especially, in the case when the Ricci operator is diagonalizable,...