On Generalized Ø-recurrent Kenmotsu Manifolds with respect to Quarter-symmetric Metric Connection
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In this paper, we study generalized Ø-recurrent and generalized Ø-Ricci recurrent Kenmotsu manifolds with respect to quarter-symmetric metric connection and obtain a necessary and sufficient condition of a generalized Ø-recurrent Kenmotsu manifold with respect to quarter symmetric metric connection to be generalized Ricci recurrent Kenmotsu manifold with respect to quarter symmetric metric connection.
Abstract
In this paper, we study generalized Ø-recurrent and generalized Ø-Ricci recurrent Kenmotsu manifolds with respect to quarter-symmetric metric connection and obtain a necessary and sufficient condition of a generalized Ø-recurrent Kenmotsu manifold with respect to quarter symmetric metric connection to be generalized Ricci recurrent Kenmotsu manifold with respect to quarter symmetric metric connection.
참고문헌 (48)
- Mobin Ahmad, "CR-SUBMANIFOLDS OF A LORENTZIAN PARA-SASAKIAN MANIFOLD ENDOWED WITH A QUARTER SYMMETRIC METRIC CONNECTION", 대한수학회보, 49(1), pp.25~32 (2012), 대한수학회
- B. S. Anitha, "Invariant submanifolds of Sasakian manifolds admitting quarter symmetric metric connection - II", Ilirias J. Math, 1(1), pp.1~13 (2012)
- C. S. Bagewadi, "A study of Ricci quarter-symmetric metric connection on a Riemannin manifold", Indian J. Math, 50(3), pp.607~615 (2008)
- A. Bajpai, "On submanifolds of codimention immersed in a manifold with quarter symmetric semi-metric connection", VSRD-TNTJ, 2(9), pp.424~431 (2011)
- A. Basari, "on generalized <TEX>$\phi$<", TEX>-recurrent Kenmotsu manifolds, 2008, pp.3(1), 91~97
- S. C. Biswas, "Quarter symmetric metric connection in an SP-Sasakian manifold", Fac. Sci. Univ. Ank. Ser. A1 Math. Stat, 46, pp.49~56 (1997)
- D. E. Blair, "Contact manifolds in Riemannian geometry" (1976), Springer-Verlag
- E. Cartan, "Sur une classe remarquable d'espaces de Riemannian", Bull. Soc. Math. France, 54, pp.214~264 (1926)
- M. C. Chaki, "On pseudosymmetric manifolds", An. St. Univ. "Al. I. Cuza" Iasi, 33, pp.53~58 (1987)
- U. C. De, "On <TEX>$\phi$<", TEX>-symmetric Kenmotsu manifolds, 2008, pp.1(1), 33~38
- U. C. De, "generalized Ricci-recurrent manifolds", Tensor (N.S.), 56, pp.312~317 (1995)
- U. C. De, "On <TEX>$\Phi$<", TEX>-recurrent Sasakian manifolds, 2003, pp.33, 43~48
- U. C. De, "On <TEX>$\phi$<", TEX><TEX>$\phi$<, Turkish J. Math, pp.2009, 33[DOI]
- R. Deszcz, "On pseudosymmetric spaces", Bull. Soc. Math. Belg. Ser. A, 44(1), pp.1~34 (1992)
- R. Deszcz, "On Ricci-pseudo-symmetric warped products", Demonstratio Math, 22, pp.1053~1065 (1989)
- R. S. D. Dubey, "Generalized recurrent spaces", Indian J Pure Appl. Math, 10(2), pp.1508~1513 (1979)
- A. Friedmann, "Uber die Geometric der halbsymmetrischen Ubertragung", Math. Zeitschr, 21, pp.211~223 (1924)
- S. Golab, "On semisymmetric and quarter symmetric linear connections", Tensor (N.S.), 29, pp.249~254 (1975)
- H. A. Hayden, "Sub-spaces of a space with torsion", Proc. London Math. Soc, 34, pp.27~50 (1932)
- I. E. Hirica, "On quarter symmetric metric connections on pseudo Riemannian manifolds", Balkan J. Geom. Appl, 16, pp.56~65 (2011)
- S. K. Hui, "On <TEX>$\phi$<", TEX>-pseudo symmetric Kenmotsu manifolds, 2013, pp.43(1), 89~98
- S. K. Hui, "On <TEX>$\phi$<", TEX>-pseudo symmetric Kenmotsu manifolds with respect to quarter symmetric metric connection, 2013, pp.15, 71~84
- Kalpana, "Some curvature properties of a quarter symmetric metric connection in an SP-Sasakian manifold", Int. Math. Forum, 5(50), pp.2477~2484 (2010)
- K. Kenmotsu, "A class of almost contact Riemannian manifolds", Tohoku Math. J, 24, pp.93~103 (1972)[DOI]
- K. T. Pradeep Kumar, "Projective <TEX>$\phi$<", TEX>-symmetric K- contact manifold admitting quarter symmetric metric connection, 2011, pp.13, 128~137
- K. T. Pradeep Kumar, "On <TEX>$\phi$<", TEX>-recurrent Para-Sasakian manifold admitting quarter symmetric metric connection, 2012, 10~
- A. K. Mondal, "Some properties of a quarter-symmetric metric connection on a Sasakian manifold", Bull. Math. Anal. Appl, 1(3), pp.99~108 (2009)
- S. Mukhopadhyay, "Some properties of a quarter symmetric metric connection on a Riemannian manifold", Soochow J. Math, 17, pp.205~211 (1991)
- J. A. Oubina, "New classes of almost contact metric structures", Publ. Math. Debrecen, 32, pp.187~193 (1985)
- C. Ozgur, "On generalized recurrent Kenmotsu manifolds", World Appl. Sci. J, 2(1), pp.29~33 (2007)
- E. M. Patterson, "Some theorems on Ricci-recurrent spaces", J. London Math. Soc, 27, pp.287~295 (1952)
- A. Prakash, "On concircularly <TEX>$\phi$<", TEX>-recurrent Kenmotsu Manifolds, 1952, pp.27, 287~295
- D. G. Prakasha, "On <TEX>$\phi$<", TEX>-symmetric Kenmotsu manifolds with respect to quarter symmetric metric connection, 2011, pp.4(1), 88~96
- N. Pusic, "On quarter symmetric metric connections on a hyperbolic Kaehlerian space", Publ. Inst. Math. (Beograd), 73(87), pp.73~80 (2003)[DOI]
- N. Pusic, "Some quarter symmetric connections on Kaehlerian manifolds", Facta Univ. Ser. Mech. Automat. Control Robot, 4(17), pp.301~309 (2005)
- S. C. Rastogi, "On quarter symmetric metric connection", C. R. Acad. Bulgare Sci, 31, pp.811~814 (1978)
- S. C. Rastogi, "On quarter symmetric metric connections", Tensor (N.S.), 44, pp.133~141 (1987)
- A. A. Shaikh, "On locally <TEX>$\phi$<", TEX>-symmetric <TEX>${\beta}$<, Extracta Math, pp.2009, 24(3)[DOI]
- A. A. Shaikh, "Quarter-symmetric metric connection on a (k, <TEX>${\mu}$<", TEX>)-contact metric manifold, 2006, pp.55, 33~45
- S. S. Shukla, "On <TEX>$\phi$<", TEX>-Ricci symmetric Kenmotsu manifolds, 2009, pp.39(2), 89~95
- Z. I. Szabo, "Structure theorems on Riemannian spaces satisfying R(X; Y ) <TEX>${\cdot}$<", TEX> R = 0, I. The local version, 1982, pp.17, 531~582
- T. Takahashi, "Sasakian <TEX>$\phi$<", TEX>-symmetric spaces, 1977, pp.29, 91~113
- S. Tanno, "The automorphism groups of almost contact Riemannian manifolds", Tohoku Math. J., 21, pp.21~38 (1969)
- D. Tarafder, "On pseudo concircular symmetric manifold admitting a type of quarter symmetric metric connection", Istanbul Univ. Fen Fak. Mat. Derg, 55-56, pp.35~41 (1997)
- M. Tarafder, "On semi pseudo symmetric manifolds admitting a type of quarter symmetric metric connection", Int. J. Contemp. Math. Sci, 6, pp.169~175 (2011)
- A. G. Walker, "On Ruses spaces of recurrent curvature", Proc. London Math. Soc, 52, pp.36~64 (1950)
- K. Yano, "On semi-symmetric metric connection", Rev. Roumaine Math. Pures Appl, 15(9), pp.1579~1586 (1970)
- K. Yano, "Quarter-symmetric metric connections and their curvature tensors", Tensor (N.S.), 38, pp.13~18 (1982)
