On almost cosymplectic manifolds with the structure vector field belonging to the -nullity distribution.
Dacko, Piotr (2000)
Balkan Journal of Geometry and its Applications (BJGA)
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Dacko, Piotr (2000)
Balkan Journal of Geometry and its Applications (BJGA)
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Oguro, Takashi (1998)
International Journal of Mathematics and Mathematical Sciences
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Tripathi, Mukut Mani, Kılıç, Erol, Perktaş, Selcen Yüksel, Keleş, Sadık (2010)
International Journal of Mathematics and Mathematical Sciences
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Binh, T.Q., Tamássy, L., De, U.C., Tarafdar, M. (2002)
Mathematica Pannonica
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Adara M. Blaga (2011)
Czechoslovak Mathematical Journal
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Identities for the curvature tensor of the Levi-Cività connection on an almost para-cosymplectic manifold are proved. Elements of harmonic theory for almost product structures are given and a Bochner-type formula for the leaves of the canonical foliation is established.
Călin, Constantin, Crasmareanu, Mircea (2010)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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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...
Nicolescu, Liviu (2005)
Balkan Journal of Geometry and its Applications (BJGA)
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Piotr Dacko, Zbigniew Olszak (2005)
Open Mathematics
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In our previous paper, almost cosymplectic (κ, μ, ν)-spaces were defined as the almost cosymplectic manifolds whose structure tensor fields satisfy a certain special curvature condition. Amongst other results, it was proved there that any almost cosymplectic (κ, μ, ν)-space can be -homothetically deformed to an almost cosymplectic −1, μ′, 0)-space. In the present paper, a complete local description of almost cosymplectic (−1, μ, 0)-speces is established: “models” of such spaces are...
Endo, Hiroshi (1994)
Publications de l'Institut Mathématique. Nouvelle Série
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De, U.C., Shaikh, A.A., Biswas, Sudipta (2003)
Novi Sad Journal of Mathematics
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Matsumoto, Koji (1985)
International Journal of Mathematics and Mathematical Sciences
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Zbigniew Olszak (1989)
Colloquium Mathematicae
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