On fibred Sasakian spaces with vanishing contact Bochner curvature tensor
Kazuhiko Takano (1993)
Colloquium Mathematicae
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Displaying similar documents to “An integral formula for non-Codazzi tensors”
On fibred Sasakian spaces with vanishing contact Bochner curvature tensor
Theorems concerning certain special tensor fields on Riemannian manifolds and their applications.
Konopka, Czesław (1993)
Publications de l'Institut Mathématique. Nouvelle Série
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On locally conformal Kähler space forms.
Matsumoto, Koji (1985)
International Journal of Mathematics and Mathematical Sciences
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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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Product-concircular curvature tensor.
V. Petrovic (1979)
Publications de l'Institut Mathématique [Elektronische Ressource]
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The Riemannian curvature tensor and differentiable spaces
Adam Kowalczyk (1984)
Banach Center Publications
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Finite Killing vector fields
Alois Švec (1977)
Commentationes Mathematicae Universitatis Carolinae
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On some curvature tensors of complex analytic and locally decomposable Riemannian spaces with -connection.
Stojković, Neda (1983)
Publications de l'Institut Mathématique. Nouvelle Série
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On K-contact Riemannian manifolds with vanishing E-contact Bochner curvature tensor
Hiroshi Endo (1991)
Colloquium Mathematicae
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For Sasakian manifolds, Matsumoto and Chūman [6] defined the contact Bochner curvature tensor (see also Yano [9]). Hasegawa and Nakane [4] and Ikawa and Kon [5] have studied Sasakian manifolds with vanishing contact Bochner curvature tensor. Such manifolds were studied in the theory of submanifolds by Yano ([9] and [10]). In this paper we define an extended contact Bochner curvature tensor in K-contact Riemannian manifolds and call it the E-contact Bochner curvature tensor. Then we show...
Contact manifolds, harmonic curvature tensor and -nullity distribution
Basil J. Papantoniou (1993)
Commentationes Mathematicae Universitatis Carolinae
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In this paper we give first a classification of contact Riemannian manifolds with harmonic curvature tensor under the condition that the characteristic vector field belongs to the -nullity distribution. Next it is shown that the dimension of the -nullity distribution is equal to one and therefore is spanned by the characteristic vector field .