Classification of locally symmetric contact metric manifolds.

Pastore, Anna Maria

Displaying similar documents to “Classification of locally symmetric contact metric manifolds.”

On $φ$ -recurrent generalized $(k, μ)$ -contact metric manifolds.

Shaikh, Absos Ali, Baishya, Kanak Kanti, Eyasmin, Sabina (2007)

Lobachevskii Journal of Mathematics

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Flow-symmetric Riemannian manifolds.

Boeckx, Eric, Bueken, Peter, Vanhecke, Lieven (1999)

Beiträge zur Algebra und Geometrie

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The local structure of essentially conformally symmetric manifolds with constant fundamental function I. The elliptic case

A. Derdziński (1979)

Colloquium Mathematicae

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On 3-dimensional generalized $(κ, μ)$ -contact metric manifolds.

Shaikh, A.A., Arslan, K., Murathan, C., Baishya, K.K. (2007)

Balkan Journal of Geometry and its Applications (BJGA)

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On weakly symmetric manifolds with a type of semi-symmetric non-metric connection

Hülya Bağdatlı Yılmaz (2011)

Annales Polonici Mathematici

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The object of the present paper is to study weakly symmetric manifolds admitting a type of semi-symmetric non-metric connection.

Embeddings of n-dimensional locally compact metric spaces to 2n-manifolds.

Juoni Luukkainen (1991)

Mathematica Scandinavica

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A contact metric manifold satisfying a certain curvature condition

Jong Taek Cho (1995)

Archivum Mathematicum

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In the present paper we investigate a contact metric manifold satisfying (C) $({\bar{\nabla}}_{\dot{γ}} R) (\cdot, \dot{γ}) \dot{γ} = 0$ for any $\bar{\nabla}$ -geodesic $γ$ , where $\bar{\nabla}$ is the Tanaka connection. We classify the 3-dimensional contact metric manifolds satisfying (C) for any $\bar{\nabla}$ -geodesic $γ$ . Also, we prove a structure theorem for a contact metric manifold with $ξ$ belonging to the $k$ -nullity distribution and satisfying (C) for any $\bar{\nabla}$ -geodesic $γ$ .

Second order parallel tensors on $(k, μ)$ -contact metric manifolds.

Mondal, A.K., De, U.C., Özgür, C. (2010)

Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică

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On some Riemannian manifolds admitting a metric semi-symmetric connection

J. Krawczyk (1988)

Colloquium Mathematicae

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Almost Contact B-metric Manifoldsas Extensions of a 2-dimensional Space-form

Hristo M. Manev (2016)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

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The object of investigations are almost contact B-metric manifolds which are derived as a product of a real line and a 2-dimensional manifold equipped with a complex structure and a Norden metric. There are used two different methods for generation of the B-metric on the product manifold. The constructed manifolds are characterised with respect to the Ganchev–Mihova–Gribachev classification and their basic curvature properties.