On locally conformal Kähler space forms.
Matsumoto, Koji (1985)
International Journal of Mathematics and Mathematical Sciences
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Displaying similar documents to “Some properties of the locally conformal Kähler manifold”
On locally conformal Kähler space forms.
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.
On fibred Sasakian spaces with vanishing contact Bochner curvature tensor
Kazuhiko Takano (1993)
Colloquium Mathematicae
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On the integrability of a -conformal Killing equation in a Kaehlerian manifold.
Takano, Kazuhiko (1991)
International Journal of Mathematics and Mathematical Sciences
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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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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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B-connections and their conformal invariants on conformally Kähler manifolds with B-metric.
Ganchev, Georgi, Gribachev, Kostadin, Mikhova, Vesselka (1987)
Publications de l'Institut Mathématique. Nouvelle Série
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On a Curvature Tensor of Kähler Type in an Almost Hermitian and Almost Para-hermitian Manifold
Mileva Prvanović (1998)
Matematički Vesnik
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Compact cosymplectic manifolds of positive constant phi-sectional curvature.
Manuel de León, Juan C. Marrero (1994)
Extracta Mathematicae
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On compact holomorphically pseudosymmetric Kählerian manifolds
Zbigniew Olszak (2009)
Open Mathematics
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For compact Kählerian manifolds, the holomorphic pseudosymmetry reduces to the local symmetry if additionally the scalar curvature is constant and the structure function is non-negative. Similarly, the holomorphic Ricci-pseudosymmetry reduces to the Ricci-symmetry under these additional assumptions. We construct examples of non-compact essentially holomorphically pseudosymmetric Kählerian manifolds. These examples show that the compactness assumption cannot be omitted in the above stated...