References
- K. Arslan, R. Ezentas, C. Murathan and C. Ozgur, On pseudo Ricci symmetric man-ifolds, Balkan J. Geom. Appl., 6(2001), 1-5.
-
M. Atceken, On geometry of submanifolds of
$(LCS)_{n}$ -manifolds, Int. J. Math. Math. Sci., Hindawi Publ. Corp., 2012, Article ID 304647. - E. Cartan, Sur une classe remarquable d'espaces de Riemannian, Bull. Soc. Math. France, 54(1926), 214-264.
- M. C. Chaki, On pseudo symmetric manifolds, An. Sti. Ale Univ., "AL. I. CUZA" Din Iasi, 33(1987), 53-58.
- M. C. Chaki, On pseudo Ricci symmetric manifolds, Bulgarian J. Physics, 15(1988), 526-531.
- M. C. Chaki and B. Chaki, On pseudo symmetric manifolds admitting a type of semi-symmetric connection, Soochow J. Math., 13(1)(1987), 1-7. https://doi.org/10.1080/0022250X.1987.9990025
- M. C. Chaki and U. C. De, On pseudo symmetric spaces, Acta Math. Hungarica, 54(1989), 185-190. https://doi.org/10.1007/BF01952047
- M. C. Chaki and S. K. Saha, On pseudo projective Ricci symmetric manifolds, Bulgarian J. Physics, 21(1994), 1-7.
- U. C. De, On semi-decomposable pseudo symmetric Riemannian spaces, Indian Acad. Math., Indore, 12(2)(1990), 149-152.
- De, U. C. and Biswas, H. A., On pseudo conformally symmetric manifolds, Bull. Cal. Math. Soc., 85(1993), 479-486.
- U. C. De and N. Guha, On pseudo symmetric manifold admitting a type of semi-symmetric connection, Bulletin Mathematique, 4(1992), 255-258.
- De, U. C. and Mazumder, B. K., On pseudo Ricci symmetric spaces, Tensor N. S., 60(1998), 135-138.
- U. C. De, C. Murathan and C. Ozgur, Pseudo symmetric and pseudo Ricci symmetric warped product manifolds, Commun. Korean Math. Soc., 25(2010), 615-621. https://doi.org/10.4134/CKMS.2010.25.4.615
- R. Deszcz, On pseudo symmetric spaces, Bull. Soc. Math. Belg. Ser. A, 44(1)(1992), 1-34.
- R. Deszcz, On Ricci-pseudo symmetric warped products, Demonstratio Math., 22(1989), 1053-1065.
-
S. K. Hui and M. Atceken, Contact warped product semi-slant submanifolds of
$(LCS)_{n}$ -manifolds, Acta Univ. Sapientiae Math., 3(2)(2011), 212-224. - K. Matsumoto, On Lorentzian almost paracontact manifolds, Bull. Yamagata Univ. Nat. Sci., 12(1989), 151-156.
- I. Mihai and R. Rosca, On Lorentzian para-Sasakian manifolds, Classical Analysis, World Scientific Publ., Singapore, (1992), 155-169.
- B. O'Neill, Semi Riemannian Geometry with applications to relativity, Academic Press, New York, 1983.
- F. Ozen, On pseudo M-projective Ricci symmetric manifolds, Int. J. Pure Appl. Math., 72(2011), 249-258.
- F. Ozen and S. Altay, On weakly and pseudo symmetric Riemannian spaces, Indian J. Pure Appl. Math., 33(10)(2001), 1477-1488.
- F. Ozen and S. Altay, On weakly and pseudo concircular symmetric structures on a Riemannian manifold, Acta Univ. Palacki. Olomuc. Fac. rer. nat. Math., 47(2008), 129-138.
- E. M. Patterson, Some theorems on Ricci-recurrent spaces, J. London Math. Soc., 27(1952), 287-295.
- A. A. Shaikh, On Lorentzian almost paracontact manifolds with a structure of the concircular type, Kyungpook Math. J., 43(2003), 305-314.
-
A. A. Shaikh, Some results on
$(LCS)_{n}$ -manifolds, J. Korean Math. Soc., 46(2009), 449-461. https://doi.org/10.4134/JKMS.2009.46.3.449 - A. A. Shaikh and K. K. Baishya, On concircular structure spacetimes, J. Math. Stat., 1(2005), 129-132. https://doi.org/10.3844/jmssp.2005.129.132
- A. A. Shaikh and K. K. Baishya, On concircular structure spacetimes II, American J. Appl. Sci., 3(4)(2006), 1790-1794. https://doi.org/10.3844/ajassp.2006.1790.1794
-
A. A. Shaikh and K. K. Baishya, On
$\phi$ -symmetric LP-Sasakian manifolds, Yokohama Math. J., 52(2006), 97-112. -
A. A. Shaikh, T. Basu and S. Eyasmin, On locally
$\phi$ -symmetric$(LCS)_{n}$ -manifolds, Int. J. Pure Appl. Math., 41(2007), 1161-1170. -
A. A. Shaikh, T. Basu and S. Eyasmin, On the existence of
$\phi$ -recurrent$(LCS)_{n}$ -manifolds, Extracta Mathematicae, 23(1)(2008), 71-83. -
A. A. Shaikh and T. Q. Binh, On weakly symmetric
$(LCS)_{n}$ -manifolds, J. Adv. Math. Studies, 2(2009), 75-90. -
A. A. Shaikh and S. K. Hui, On generalized
$\phi$ -recurrent$(LCS)_{n}$ -manifolds, AIP Conference Proceedings, 1309(2010), 419-429. -
G. T. Sreenivasa, Venkatesha and C. S. Bagewadi, Some results on
$(LCS)_{2n+1}-$ manifolds, Bull. Math. Analysis and Appl., 1(3)(2009), 64-70. - Z. I. Szabo, Structure theorems on Riemannian spaces satisfying R(X, Y ).R = 0, The local version, J. Diff. Geom., 17(1982), 531-582. https://doi.org/10.4310/jdg/1214437486
-
T. Takahashi, Sasakian
$\phi$ -symmetric spaces, Tohoku Math. J., 29(1977), 91-113. https://doi.org/10.2748/tmj/1178240699 - M. Tarafder, On pseudo symmetric and pseudo Ricci symmetric Sasakian manifolds, Periodica Math. Hungarica, 22(1991), 125-129. https://doi.org/10.1007/BF02327868
- M. Tarafder, On conformally at pseudo symmetric manifolds, An. Sti. Ale Univ., "AL. I. CUZA" Din Iasi, 41(1995), 237-242.
- M. Tarafder and U. C. De, On pseudo symmetric and pseudo Ricci symmetric K-contact manifolds, Periodica Math. Hungarica, 31(1995), 21-25. https://doi.org/10.1007/BF01876349
- A. G. Walker, On Ruses spaces of recurrent curvature, Proc. London Math. Soc., 52(1950), 36-64.
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