참고문헌
- M. Atceken and S. K. Hui, Slant and pseudo-slant submanifolds in LCS-manifolds, Czechoslovak Math. J. 63(138) (2013), no. 1, 177-190. https://doi.org/10.1007/s10587-013-0012-6
- K. K. Baishya and S. Eyasmin, Generalized weakly Ricci-symmetric (CS)4-spacetimes, J. Geom. Phys. 132 (2018), 415-422. https://doi.org/10.1016/j.geomphys.2018.05.029
- A. Bejancu, Geometry of CR-Submanifolds, Mathematics and its Applications (East European Series), 23, D. Reidel Publishing Co., Dordrecht, 1986. https://doi.org/10.1007/978-94-009-4604-0
- R. L. Bishop and B. O'Neill, Manifolds of negative curvature, Trans. Amer. Math. Soc. 145 (1969), 1-49. https://doi.org/10.2307/1995057
- S. Hiepko, Eine innere Kennzeichnung der verzerrten Produkte, Math. Ann. 241 (1979), no. 3, 209-215. https://doi.org/10.1007/BF01421206
-
S. K. Hui, On
$\phi$ -pseudo symmetries of$(LCS)_n$ --manifolds, Kyungpook Math. J. 53 (2013), no. 2, 285-294. https://doi.org/10.5666/KMJ.2013.53.2.285 -
S. K. Hui and M. Atceken, Contact warped product semi-slant submanifolds of
$(LCS)_n$ -manifolds, Acta Univ. Sapientiae Math. 3 (2011), no. 2, 212-224. -
S. K. Hui, M. Atceken, and S. Nandy, Contact CR-warped product submanifolds of
$(LCS)_n$ -manifolds, Acta Math. Univ. Comenian. (N.S.) 86 (2017), no. 1, 101-109. -
S. K. Hui, M. Atceken, and T. Pal, Warped product pseudo slant submanifolds
$(LCS)_n$ -manifolds, New Trends in Math. Sci., 5 (2017), 204-212. -
S. K. Hui, R. Prasad, and T. Pal, Ricci solitons on submanifolds of
$(LCS)_n$ -manifolds, Ganita 68 (2018), no. 1, 53-63. -
S. K. Hui, L.-I. Piscoran, and T. Pal, Invariant submanifolds of
$(LCS)_n$ -manifolds with respect to quarter symmetric metric connections, Acta Math. Univ. Comenian. (N.S.) 87 (2018), no. 2, 205-221. - B. O'Neill, Semi-Riemannian Geometry, Pure and Applied Mathematics, 103, Academic Press, Inc., New York, 1983.
- A. A. Shaikh, On Lorentzian almost paracontact manifolds with a structure of the concircular type, Kyungpook Math. J. 43 (2003), no. 2, 305-314.
-
A. A. Shaikh, Some results on
$(LCS)_n$ -manifolds, J. Korean Math. Soc. 46 (2009), no. 3, 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), no. 2, 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 (2006), no. 4, 1790-1794. https://doi.org/10.3844/ajassp.2006.1790.1794
-
A. A. Shaikh, T. Basu, and S. Eyasmin, On locally
$\phi$ -symmetric$(LCS)_n$ -manifolds, Int. J. Pure Appl. Math. 41 (2007), no. 8, 1161-1170. -
A. A. Shaikh, T. Basu, and S. Eyasmin, On the existence of
$\phi$ -recurrent$(LCS)_n$ -manifolds, Extracta Math. 23 (2008), no. 1, 71-83. -
A. A. Shaikh and T. Q. Binh, On weakly symmetric
$(LCS)_n$ -manifolds, J. Adv. Math. Stud. 2 (2009), no. 2, 103-118. -
A. A. Shaikh and S. K. Hui, On generalized
$\phi$ -recurrent$(LCS)_n$ -manifolds, AIP Conference Proceedings 1309 (2010), 419-429. -
A. A. Shaikh, Y. Matsuyama, and S. K. Hui, On invariant submanifolds of
$(LCS)_n$ -manifolds, J. Egyptian Math. Soc. 24 (2016), no. 2, 263-269. https://doi.org/10.1016/j.joems.2015.05.008 - S. Uddin, B.-Y. Chen, and F. R. Al-Solamy, Warped product bi-slant immersions in Kaehler manifolds, Mediterr. J. Math. 14 (2017), no. 2, Art. 95, 11 pp. https://doi.org/10.1007/s00009-017-0896-8