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This article is cited in 1 scientific paper (total in 1 paper)
A Study on the $\phi$-Symmetric $\mathrm{K}$-Contact Manifold Admitting Quarter-Symmetric Metric Connection
C. S. Bagewadi, Gurupadavva Ingalahalli Department of Mathematics, Kuvempu University,
Shankaraghatta - 577 451, Shimoga, Karnataka, India
Abstract:
The local $\phi$-symmetry and $\phi$-symmetry of a $\mathrm{K}$-contact manifold with respect to the quarter-symmetric metric connection are studied and the results concerning the $\phi$-symmetry, scalar curvature with respect to the quarter-symmetric and the Levi–Civita connection are obtained. Further, the locally $\mathrm{C}$-Bochner $\phi$-symmetric and the locally $\phi$-symmetric $\mathrm{K}$-contact manifolds with respect to the quarter-symmetric metric connection are studied and some results are obtained. The results are assisted by the examples.
Key words and phrases:
$\mathrm{K}$-contact manifold, connection, $\phi$-symmetry.
Received: 19.09.2011 Revised: 16.07.2014
Citation:
C. S. Bagewadi, Gurupadavva Ingalahalli, “A Study on the $\phi$-Symmetric $\mathrm{K}$-Contact Manifold Admitting Quarter-Symmetric Metric Connection”, Zh. Mat. Fiz. Anal. Geom., 10:4 (2014), 399–411
Linking options:
https://www.mathnet.ru/eng/jmag601 https://www.mathnet.ru/eng/jmag/v10/i4/p399
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