Results on para-Sasakian manifold admitting a quarter symmetric metric connection
-
Vishnuvardhana S.V.
svvishnuvardhana@gmail.com
-
Venkatesha
vensmath@gmail.com
Downloads
DOI:
https://doi.org/10.4067/S0719-06462020000200257Abstract
In this paper we have studied pseudosymmetric, Ricci-pseudosymmetric and projectively pseudosymmetric para-Sasakian manifold admitting a quarter-symmetric metric connection and constructed examples of 3-dimensional and 5-dimensional para-Sasakian manifold admitting a quarter-symmetric metric connection to verify our results.
Keywords
Abul Kalam Mondal and U.C. De, Quarter-symmetric nonmetric Connection on P-Sasakian manifolds, ISRN Geometry, (2012), 1–14.
G. Soos, Ìber die geodätischen Abbildungen von Riemannaschen Räumen auf projektiv-symmetrische Riemannsche Ra ̈ume, Acta. Math. Acad. Sci. Hungar., 9, (1958), 359–361.
A. Barman, Concircular curvature tensor on a P-Sasakian manifold admitting a quarter-symmetric metric connection, Kragujevac J. Math. 42 (2018), 2, 275–285.
D. V. Alekseevsky et al., Cones over pseudo-Riemannian manifolds and their holonomy, J. Reine Angew. Math. 635 (2009), 23–69.
E. Cartan, Surune classe remarquable d‘espaces de Riema, Soc. Math., France, 54 (1926), 214–264.
Cihan Ozgur, On A class of para-Sakakian manifolds, Turk J Math., 29 (2005), 249–257.
V. Cortés et al., Special geometry of Euclidean supersymmetry. I. Vector multiplets, J. High Energy Phys., 03, (2004), 1–64.
V. Cortés, M.-A. Lawn and L. Schäfer, Affine hyperspheres associated to special para-Kähler manifolds, Int. J. Geom. Methods Mod. Phys. 3 (2006), 5-6, 995–1009.
R. Deszcz, On pseudosymmetric spaces, Acta Math., Hungarica, 53 (1992), 185–190.
R. Deszcz and S. Yaprak, Curvature properties of certain pseudosymmetric manifolds, Publ. Math. Debrecen 45 (1994), 3-4, 333–345.
R. Deszcz et al., On some curvature conditions of pseudosymmetry type, Period. Math. Hungar. 70 (2015), 2, 153–170.
S. Golab, On semi-symmetric and quarter-symmetric linear connections, Tensor (N.S.) 29 (1975), 3, 249–254.
S. Haesen and L. Verstraelen, Properties of a scalar curvature invariant depending on two planes, Manuscripta Math. 122 (2007), 1, 59–72.
S. Kaneyuki and F. L. Williams, Almost paracontact and parahodge structures on manifolds, Nagoya Math. J. 99 (1985), 173–187.
Lata Bisht and Sandhana Shanker, Curvature tensor on para-Sasakian manifold admitting quarter symmetric metric connection, IOSR Journal of Mathematics, 11(5), (2015), 22–28.
K. Mandal and U. C. De, Quarter-symmetric metric connection in a P-Sasakian manifold, An. Univ. Vest Timi ̧s. Ser. Mat.-Inform. 53 (2015), 1, 137–150.
K.T. Pradeep Kumar, Venkatesha and C.S. Bagewadi, On φ-recurrent para-Sasakian manifold admitting quarter-symmetric metric connection, ISRN Geometry, (2012), 1-10.
I. Sato, On a structure similar to the almost contact structure, Tensor (N.S.) 30 (1976), 3, 219–224.
Z. I. Szabo, Structure theorems on Riemannian spaces satisfying R(X, Y ) · R = 0. I. The local version, J. Differential Geometry 17 (1982), 4, 531–582.
Most read articles by the same author(s)
- Venkatesha, Shanmukha B., \(W_2\)-curvature tensor on generalized Sasakian space forms , CUBO, A Mathematical Journal: Vol. 20 No. 1 (2018)
- D. G. Prakasha, H. Harish, P. Veeresha, Venkatesha, The Zamkovoy canonical paracontact connection on a para-Kenmotsu manifold , CUBO, A Mathematical Journal: Vol. 23 No. 2 (2021)
- G. Divyashree, Venkatesha, Certain results on the conharmonic curvature tensor of \( (\kappa,\mu) \)-contact metric manifolds , CUBO, A Mathematical Journal: Vol. 22 No. 1 (2020)
- Venkatesha, Divyashree G., Three dimensional f-Kenmotsu manifold satisfying certain curvature conditions , CUBO, A Mathematical Journal: Vol. 19 No. 1 (2017): CUBO, A Mathematical Journal
Similar Articles
- Manoj Bhardwaj, Alexander V. Osipov, Some observations on a clopen version of the Rothberger property , CUBO, A Mathematical Journal: Vol. 25 No. 2 (2023)
- Lei Ni, A maximum principle for tensors on complete manifolds and its applications , CUBO, A Mathematical Journal: Vol. 7 No. 1 (2005): CUBO, A Mathematical Journal
- Yaroslav Kurylev, Matti Lassas, Multidimensional Gel'fand Inverse Boundary Spectral Problem: Uniqueness and Stability , CUBO, A Mathematical Journal: Vol. 8 No. 1 (2006): CUBO, A Mathematical Journal
- Mihai Prunescu, Concrete algebraic cohomology for the group (â„, +) or how to solve the functional equation ð‘“(ð‘¥+ð‘¦) - ð‘“(ð‘¥) - ð‘“(ð‘¦) = ð‘”(ð‘¥, ð‘¦) , CUBO, A Mathematical Journal: Vol. 9 No. 3 (2007): CUBO, A Mathematical Journal
- Naoyuki Koike, Mean curvature flow of certain kind of isoparametric foliations on non-compact symmetric spaces , CUBO, A Mathematical Journal: Vol. 20 No. 3 (2018)
- H. Özlem Güney, G. Murugusundaramoorthy, K. Vijaya, Subclasses of \(\lambda\)-bi-pseudo-starlike functions with respect to symmetric points based on shell-like curves , CUBO, A Mathematical Journal: Vol. 23 No. 2 (2021)
- Yavar Kian, Local energy decay for the wave equation with a time-periodic non-trapping metric and moving obstacle , CUBO, A Mathematical Journal: Vol. 14 No. 2 (2012): CUBO, A Mathematical Journal
- Mudasir Younis, Nikola Mirkov, Ana Savić, Mirjana Pantović, Stojan Radenović, Some critical remarks on recent results concerning \(\digamma-\)contractions in \(b-\)metric spaces , CUBO, A Mathematical Journal: Vol. 25 No. 1 (2023)
- Mohd Danish Siddiqi, Aliya Naaz Siddiqui, Ali H. Hakami, M. Hasan, Estimation of sharp geometric inequality in \(D_{\alpha}\)-homothetically deformed Kenmotsu manifolds , CUBO, A Mathematical Journal: Vol. 25 No. 3 (2023)
- C. S. Bagewadi, M. S. Siddesha, Submanifolds of a (k,μ)-contact manifold , CUBO, A Mathematical Journal: Vol. 18 No. 1 (2016): CUBO, A Mathematical Journal
<< < 1 2 3 4 5 6 7 8 9 10 11 12 > >>
You may also start an advanced similarity search for this article.











