Research Article
Year 2019,
Volume: 1 Issue: 2, 15 - 21, 09.10.2019
Abstract
The object of the present paper is to study the C−Bochner curvature tensor in (LCS)n-manifolds.
References
- Referans1-Atceken, M. and Hui, S. K., Slant and pseudo-slant submanifolds of (LCS)nmanifolds,Czechoslovak Math. J., 63 (2013), 177-190.
- Referans2- Atceken, M., On geometry of submanifolds of (LCS)n-manifolds, Int. J. Math. and Math. Sci.,2012, doi:10.1155/2012/304647.
- Referans3- At¸ceken, M. and Yıldırım, ¨U., Weakly symmetric and weakly Ricci symmetric conditions on(LCS)n-manifolds, African Journal of Mathematics and Computer Science Research, Vol. 6(6),(2013), 129-134.
- Referans4- Blair, D. E., On the geometric meaning of the Bochner tensor, Geom. Dedicata, 4, 33-38, 1975.
- Referans5- Bochner, S., Curvature and Betti numbers, Ann. of Math. 50 (1949)77-93.
- Referans6-Boothby, W. M. and Wang, H. C., On contact manifolds. Annals of Math., 68 (1958), 721-734.
- Referans7-De, U.C. Samui, S., E-Bochner curvature tensor on (, μ)-contact metric manifolds, Int. Electron.J. Geom. 7(1)(2014)143-153.
- Referans8- De, U.C.and Ghosh, S., E-Bochner curvature tensor on N(k)-contact metric mnifolds, HacettepeJournal of Mathematics and Statistics, 43(3), (2014), 365-374.
- Referans9-Endo, H., On K-contact Reimannian manifolds with vanishing E-contact Bochner curvaturetensor, Colloq. Math. 62(1991), 293-297.
- Referans10- Hui, S. K., On -pseudo symmetries of (LCS)n-manifolds, Kyungpook Math. J., 53 (2013),285-294.
- Referans11-Hui, S. K. and Atceken, M., Contact warped product semi-slant submanifolds of (LCS)nmanifolds,Acta Univ. Sapientiae Mathematica, 3(2) (2011), 212-224.
- Referans12- Kaneyuki,S. and Williams, F. L., Almost paracontact and parahodge structures on manifolds,Nagoya Math. J. 99 (1985), 173-187.
- Referans13- Matsumoto, M. and Chuman, G., On the C-Bochner curvature tensor,TRUMath.5(1969)21-30.
- Referans14- Matsumoto, K., On Lorentzian paracontact manifolds, Bulletin of Yamagata University, vol. 12,no. 2, pp. 151-156, 1989.
- Referans15- Mihai, I. and Rosca, R., On Lorentzian para-Sasakian manifolds, Classical Anal., World Sci.Publ., Singapore, (1992), 155-169.
- Referans16- Narain, D. and Yadav, S., On weak concircular symmetries of (LCS)2n+1- manifolds, Global J.Sci. Frontier Research, 12 (2012), 85-94.
- Referans17-O’ Neill, B., Semi-Riemannian Geometry, Academic Press, New York, 1983.
- Referans18- Shaikh, A. A., On Lorentzian almost paracontact manifolds with a structure of the concirculartype, Kyungpook Mathematical Journal, vol. 43, no. 2, pp. 305-314, 2003.
- Referans19-Shaikh, A. A. and Baishya, K. K., On concircular structure spacetimes II, American J. Appl.Sci., 3(4) (2006), 1790-1794.
- Referans20-Shaikh, A. A., Some results on (LCS)n-manifolds, J. Korean Math. Soc. 46 (2009), No. 3, pp.449461 DOI 10.4134/JKMS.2009.46.3.449
Year 2019,
Volume: 1 Issue: 2, 15 - 21, 09.10.2019
Abstract
References
- Referans1-Atceken, M. and Hui, S. K., Slant and pseudo-slant submanifolds of (LCS)nmanifolds,Czechoslovak Math. J., 63 (2013), 177-190.
- Referans2- Atceken, M., On geometry of submanifolds of (LCS)n-manifolds, Int. J. Math. and Math. Sci.,2012, doi:10.1155/2012/304647.
- Referans3- At¸ceken, M. and Yıldırım, ¨U., Weakly symmetric and weakly Ricci symmetric conditions on(LCS)n-manifolds, African Journal of Mathematics and Computer Science Research, Vol. 6(6),(2013), 129-134.
- Referans4- Blair, D. E., On the geometric meaning of the Bochner tensor, Geom. Dedicata, 4, 33-38, 1975.
- Referans5- Bochner, S., Curvature and Betti numbers, Ann. of Math. 50 (1949)77-93.
- Referans6-Boothby, W. M. and Wang, H. C., On contact manifolds. Annals of Math., 68 (1958), 721-734.
- Referans7-De, U.C. Samui, S., E-Bochner curvature tensor on (, μ)-contact metric manifolds, Int. Electron.J. Geom. 7(1)(2014)143-153.
- Referans8- De, U.C.and Ghosh, S., E-Bochner curvature tensor on N(k)-contact metric mnifolds, HacettepeJournal of Mathematics and Statistics, 43(3), (2014), 365-374.
- Referans9-Endo, H., On K-contact Reimannian manifolds with vanishing E-contact Bochner curvaturetensor, Colloq. Math. 62(1991), 293-297.
- Referans10- Hui, S. K., On -pseudo symmetries of (LCS)n-manifolds, Kyungpook Math. J., 53 (2013),285-294.
- Referans11-Hui, S. K. and Atceken, M., Contact warped product semi-slant submanifolds of (LCS)nmanifolds,Acta Univ. Sapientiae Mathematica, 3(2) (2011), 212-224.
- Referans12- Kaneyuki,S. and Williams, F. L., Almost paracontact and parahodge structures on manifolds,Nagoya Math. J. 99 (1985), 173-187.
- Referans13- Matsumoto, M. and Chuman, G., On the C-Bochner curvature tensor,TRUMath.5(1969)21-30.
- Referans14- Matsumoto, K., On Lorentzian paracontact manifolds, Bulletin of Yamagata University, vol. 12,no. 2, pp. 151-156, 1989.
- Referans15- Mihai, I. and Rosca, R., On Lorentzian para-Sasakian manifolds, Classical Anal., World Sci.Publ., Singapore, (1992), 155-169.
- Referans16- Narain, D. and Yadav, S., On weak concircular symmetries of (LCS)2n+1- manifolds, Global J.Sci. Frontier Research, 12 (2012), 85-94.
- Referans17-O’ Neill, B., Semi-Riemannian Geometry, Academic Press, New York, 1983.
- Referans18- Shaikh, A. A., On Lorentzian almost paracontact manifolds with a structure of the concirculartype, Kyungpook Mathematical Journal, vol. 43, no. 2, pp. 305-314, 2003.
- Referans19-Shaikh, A. A. and Baishya, K. K., On concircular structure spacetimes II, American J. Appl.Sci., 3(4) (2006), 1790-1794.
- Referans20-Shaikh, A. A., Some results on (LCS)n-manifolds, J. Korean Math. Soc. 46 (2009), No. 3, pp.449461 DOI 10.4134/JKMS.2009.46.3.449
There are 20 citations in total.
Details
| Primary Language | English |
|---|---|
| Journal Section | Articles |
| Authors | |
| Publication Date | October 9, 2019 |
| Published in Issue | Year 2019 Volume: 1 Issue: 2 |
