Compact cosymplectic manifolds of positive constant phi-sectional curvature.
Manuel de León, Juan C. Marrero (1994)
Extracta Mathematicae
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Manuel de León, Juan C. Marrero (1994)
Extracta Mathematicae
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Debasish Tarafdar, U. C. De (1993)
Extracta Mathematicae
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Mileva Prvanović (2010)
Bulletin, Classe des Sciences Mathématiques et Naturelles, Sciences mathématiques
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Kumar, Rakesh, Rani, Rachna, Nagaich, R.K. (2007)
International Journal of Mathematics and Mathematical Sciences
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Gilkey, Peter B. (1999)
Novi Sad Journal of Mathematics
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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,...
Tshikunguila Tshikuna-Matamba (2005)
Extracta Mathematicae
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It is known that L. Vanhecke, among other geometers, has studied curvature properties both on almost Hermitian and almost contact metric manifolds.
The purpose of this paper is to interrelate these properties within the theory of almost contact metric submersions. So, we examine the following problem:
Nicolescu, Liviu, Pripoae, Gabriel (1999)
Balkan Journal of Geometry and its Applications (BJGA)
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Yaning Wang (2016)
Open Mathematics
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Let M3 be a three-dimensional almost Kenmotsu manifold satisfying ▽ξh = 0. In this paper, we prove that the curvature tensor of M3 is harmonic if and only if M3 is locally isometric to either the hyperbolic space ℍ3(-1) or the Riemannian product ℍ2(−4) × ℝ. This generalizes a recent result obtained by [Wang Y., Three-dimensional locally symmetric almost Kenmotsu manifolds, Ann. Polon. Math., 2016, 116, 79-86] and [Cho J.T., Local symmetry on almost Kenmotsu three-manifolds, Hokkaido...
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...
Takano, Kazuhiko (1991)
International Journal of Mathematics and Mathematical Sciences
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