Geodesic
A Study on the $\phi$-Symmetric $\mathrm{K}$-Contact Manifold Admitting Quarter-Symmetric Metric Connection
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 10 (2014), pp. 399-411

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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. 
@article{JMAG_2014_10_a0,
     author = {C. S. Bagewadi and Gurupadavva Ingalahalli},
     title = {A {Study} on the $\phi${-Symmetric} $\mathrm{K}${-Contact} {Manifold} {Admitting} {Quarter-Symmetric} {Metric} {Connection}},
     journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
     pages = {399--411},
     publisher = {mathdoc},
     volume = {10},
     year = {2014},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JMAG_2014_10_a0/}
}
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C. S. Bagewadi; Gurupadavva Ingalahalli. A Study on the $\phi$-Symmetric $\mathrm{K}$-Contact Manifold Admitting Quarter-Symmetric Metric Connection. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 10 (2014), pp. 399-411. http://geodesic.mathdoc.fr/item/JMAG_2014_10_a0/