Some Properties of Lorentzian $\alpha$-Sasakian Manifolds with Respect to Quarter-symmetric Metric Connection

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1. Chaki, M. C., On pseudo symmetric manifolds, An. Stiint. Univ. Al. I. Cuza Iasi Sect. I a Mat. 33, 1 (1987), 53–58. (1987) Zbl0634.53012MR0925690
2. Chaki, M. C., On pseudo Ricci symmetric manifolds, Bulgar. J. Phys. 15, 6 (1988), 526–531. (1988) Zbl0689.53011MR1028590
3. Chaki, M. C., Some theorems on recurrent and Ricci-recurrent spaces, Rend. Sem. Math. Delta Univ. Padova 26 (1956), 168–176. (1956) Zbl0075.17501MR0084165
4. Deszcz, R., Kowalczyk, D., 10.4064/cm97-1-2, Colloq. Math. 97, 1 (2003), 7–22. (2003) Zbl1053.53017MR2010538DOI10.4064/cm97-1-2
5. Friedmann, A., Schouten, J. A., 10.1007/BF01187468, Math. Zeitschr. 21 (1924), 211–223. (1924) MR1544701DOI10.1007/BF01187468
6. Golab, S., On semi-symmetric and quarter-symmetric linear connections, Tensor, N.S. 29 (1975), 249–254. (1975) Zbl0308.53010MR0383275
7. Hayden, H. A., Subspaces of a space with torsion, Proc. London Math. Soc. 34 (1932), 27–50. (1932) MR1576150
8. Mishra, R. S., Pandey, S. N., On quarter-symmetric metric F-connection, Tensor, N.S. 34 (1980), 1–7. (1980) MR0570556
9. Mikeš, J., 10.1007/BF01157926, Math. Notes 28 (1981), 622–624. (1981) Zbl0454.53013DOI10.1007/BF01157926
10. Mikeš, J., 10.1007/BF02365193, J. Math. Sci. 78, 3 (1996), 311–333. (1996) MR1384327DOI10.1007/BF02365193
11. Mikeš, J., Vanžurová, A., Hinterleitner, I., Geodesic mappings and some generalizations, Palacký University, Olomouc, 2009. (2009) Zbl1222.53002MR2682926
12. Mikeš et al., J., Differential geometry of special mappings, Palacky University, Olomouc, 2015. (2015) Zbl1337.53001MR3442960
13. Mikeš, J., Geodesic mappings of special Riemannian spaces, Topics in differential geometry, Vol. II, Colloq. Math. Soc. János Bolyai, Debrecen 46 (1984), North-Holland, Amsterdam. (1984) MR0933875
14. Mikeš, J., Rachůnek, L., Torse-forming vector fields in T-semisymmetric Riemannian spaces, In: Steps in Differential Geometry. Proc. Colloq. Diff. Geometry, Univ. Debrecen, Inst. Math. and Inf., Debrecen, 2001, 219–229. (2001) Zbl0994.53009MR1859300
15. Mikeš, J., Rachůnek, L., T-semisymmetric spaces and concircular vector fields, Rend. Circ. Mat. Palermo, II. Suppl. 69 (2002), 187–193. (2002) Zbl1023.53014MR1972434
16. Mukhopadhyay, S., Roy, A. K., Barua, B., Some properties of a quartersymmetric metric connection on a Riemannian manifold, Soochow J. Math. 17 (1991), 205–211. (1991) MR1143507
17. Patterson, K. M., 10.1112/jlms/s1-27.3.287, London Math. Soc. 27 (1952), 287–295. (1952) MR0048891DOI10.1112/jlms/s1-27.3.287
18. Prakash, N., A note on Ricci-recurrent and recurrent spaces, Bulletin of the Calcutta Mathematical Society 54 (1962), 1–7. (1962) MR0148007
19. Prasad, B., On semi-generalized recurrent manifold, Mathematica Balkanica, New series 14 (2000), 77–82. (2000) Zbl1229.53020MR1818271
20. Prakashs, D. G., Bagewadi, C. S., Basavarajappa, N. S., On pseudosymmetric Lorentzian $\alpha$-Sasakian manifolds, IJPAM 48, 1 (2008), 57–65. (2008) MR2456434
21. Khan, Q., On generalized recurrent Sasakian manifolds, Kyungpook Math. J. 44 (2004), 167–172. (2004) Zbl1086.53064MR2064777
22. Rastogi, S. C., On quarter-symmetric connection, C. R. Acad. Sci. Bulgar 31 (1978), 811–814. (1978) MR0522544
23. Rastogi, S. C., On quarter-symmetric metric connection, Tensor 44 (1987), 133–141. (1987) MR0944894
24. Ruse, H. S., 10.1112/plms/s2-53.3.212, London Math. Soc. 53 (1951), 212–229. (1951) Zbl0045.43001MR0043536DOI10.1112/plms/s2-53.3.212
25. Rachůnek, L., Mikeš, J., On tensor fields semiconjugated with torse-forming vector fields, Acta Univ. Palacki. Olomuc., Fac. Rer. Nat., Math. 44 (2005), 151–160. (2005) Zbl1092.53016MR2218574
26. Sular, S., Some properties of a Kenmotsu manifold with a semi symmetric metric connection, Int. Electronic J. Geom. 3 (2010), 24–34. (2010) Zbl1190.53042MR2639328
27. Tamassy, L., Binh, T. Q., On weakly symmetric and weakly projective symmetric Riemannian manifolds, Coll. Math. Soc. J. Bolyai 56 (1992), 663–670. (1992) Zbl0791.53021MR1211691
28. Tamassy, L., Binh, T. Q., On weak symmetries of Einstein and Sasakian manifolds, Tensor, N.S. 53 (1993), 140–148. (1993) Zbl0849.53038MR1455411
29. Tripathi, M. M., On a semi-symmetric metric connection in a Kenmotsu manifold, J. Pure Math. 16 (1999), 67–71. (1999) Zbl1053.53508MR1768254
30. Tripathi, M. M., A new connection in a Riemannian manifold, Int. Electronic J. Geom. 1 (2008), 15–24. (2008) Zbl1135.53007MR2390386
31. Tripathi, M. M., Nakkar, N., On a semi-symmetric non-metric connection in a Kenmotsu manifold, Bull. Cal. Math. Soc. 16, 4 (2001), 323–330. (2001) MR1909351
32. Yano, K., On semi-symmetric metric connections, Rev. Roumaine Math. Pures Appl. 15 (1970), 1579–1586. (1970) MR0275321
33. Yano, K., Imai, T., Quarter-symmetric metric connections and their curvature tensors, Tensor, N.S. 38 (1982), 13–18. (1982) Zbl0504.53014MR0832619
34. Yadav, S., Suthar, D. L., Certain derivation on Lorentzian $\alpha$-Sasakian manifolds, Mathematics and Decision Science 12, 2 (2012), 1–6. (2012) MR2814463
35. Yamaguchi, S., Matsumoto, M., On Ricci-recurrent spaces, Tensor, N.S. 19 (1968), 64–68. (1968) Zbl0168.19503MR0221430
36. Yildiz, A., Murathan, C., On Lorentzian $\alpha$-Sasakian manifolds, Kyungpook Math. J. 45 (2005), 95–103. (2005) Zbl1085.53023MR2142281
37. Yildiz, A., Turan, M., Acet, B. F., On three dimensional Lorentzian $\alpha$-Sasakian manifolds, Bull. Math. Anal. Appl. 1, 3 (2009), 90–98. (2009) Zbl1312.53071MR2578119