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http://dx.doi.org/10.4134/BKMS.2009.46.5.895

HYPERSURFACES OF ALMOST γ-PARACONTACT RIEMANNIAN MANIFOLD ENDOWED WITH SEMI-SYMMETRIC METRIC CONNECTION  

Jun, Jae-Bok (DEPARTMENT OF MATHEMATICS COLLEGE OF NATURAL SCIENCE KOOK-MIN UNIVERSITY)
Ahmad, Mobin (DEPARTMENT OF MATHEMATICS INTEGRAL UNIVERSITY)
Publication Information
Bulletin of the Korean Mathematical Society / v.46, no.5, 2009 , pp. 895-903 More about this Journal
Abstract
We define a semi-symmetric metric connection in an almost $\gamma$-paracontact Riemannian manifold and we consider invariant, non-invariant and anti-invariant hypersurfaces of an almost $\gamma$-paracontact Riemannian manifold endowed with a semi-symmetric metric connection.
Keywords
hypersurface; almost $\gamma$-paracontact Riemannian manifold; semisymmetric metric connection;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
Times Cited By Web Of Science : 0  (Related Records In Web of Science)
Times Cited By SCOPUS : 2
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1 M. Ahmad, J.-B. Jun, and A. Haseeb, Hypersurfaces of almost r-paracontact Riemannian manifold endowed with a quarter symmetric metric connection, Bull. Korean Math. Soc. 46 (2009), no. 3, 477–487   과학기술학회마을   DOI   ScienceOn
2 A. Bucki and A. Miernowski, Almost r-paracontact structures, Ann. Univ. Mariae Curie- Sklodowska Sect. A 39 (1985), 13–26
3 B. Y. Chen, Geometry of Submaifolds, Marcel Dekker, New York, 1973
4 J. A. Schouten, Ricci Calculus, Springer, 1954
5 K. Yano, On semi-symmetric metric connection, Rev. Roumaine Math. Pures Appl. 15 (1970), 1579–1586
6 M. Ahmad and C. Ozgur, Hypersurfaces of almost r-paracontact Riemannian manifold endowed with a semi-symmetric non-metric connection, Results in Mathematics, Accepted   DOI
7 A. Bucki, Hypersurfaces of almost r-paracontact Riemannian manifolds, Tensor (N.S.) 48 (1989), no. 3, 245–251
8 A. Bucki, Almost r-paracontact structures of P-Sasakian type, Tensor (N.S.) 42 (1985), no. 1, 42–54
9 A. Friedmann and J. A. Schouten, Uber die geometrie der halbsymmetrischen ubertrangung, Math. Z. 21 (1924), no. 1, 211–223   DOI