On generalized weakly symmetric Kenmotsu manifolds
Resumen
This paper aims to introduce the notions of a generalized weakly symmetric Kenmotsu manifolds and a generalized weakly Ricci-symmetric Kenmotsu manifolds. The existence of a generalized weakly symmetric Kenmotsu manifold is ensured by a non-trivial example.
Descargas
Citas
Shaikh, A. A., Baishya, K. K., On weakly quasi-conformally symmetric manifolds., Soochow J. of Math. 31(4), 581-595, (2005).
Walker, A. G., On Ruse’s space of recurrent curvature, Proc. of London Math. Soc. 52, 36-54, (1950).
Janssens, D., Vanhecke, L., Almost contact structures and curvature tensors, Kodai Math. j. 4, 1-27, (1981).
Cartan, E., Sur une classes remarquable d’espaces de Riemannian, Bull. Soc. Math. France, 54, 214-264, (1926).
Ozen, F., Altay, S., On weakly and pseudo symmetric riemannian spaces, Indian Journal of Pure and Applied Mathematics, 33(10), 1477-1488, (2001).
Ozen, F., Altay, S., On weakly and pseudo concircular symmetric structures on a Riemannian manifold, Acta Universitatis Palackianae Olomucensis. Facultas Rerum.
June, J. B., Dey, U. C., Pathak, G., On Kenmotsu manifolds, J. Korean Math. Soc. , 42(3), 435-445, (2005).
Baishya, K. K., On generalized semi-pseudo symmetric manifold, submitted.
Baishya, K. K., On generalized weakly symmetric manifold, Bulletin of the Transilvania University of Brasov, Series III, Maths, Informatics, Physics, 10(59), 31–38, (2017).
Baishya, K. K., On almost generalized pseudo symmetric manifolds, submitted.
Kenmotsu, K., A class of almost contact Riemannian manifolds, Tohoku Mathematical Journal, 24(1), 93–103, (1972).
Tamassy, L., Binh, T. Q., On weakly symmetric and weakly projective symmetric Riemannian manifolds, Coll. Math. Soc., J. Bolyai, 56, 663–670, (1989).
Chaki, M. C., On pseudo Ricci symmetric manifolds, Bulg. J. Physics, 15, 526–531, (1988).
Tarafdar, M., Jawarneh, M. A. A., Semi-Pseudo Ricci Symmetric manifold, J. Indian. Inst. of Science. , 73, 591–596, (1993).
Prvanovic, M., On weakly symmetric riemannian manifolds. Publicationes Mathematicae Debrecen, 46, 19–25, (1995).
Prvanovic, M., On totally umbilical submanifolds immersed in a weakly symmetric riemannian manifolds. Publicationes Mathematicae Debrecen, 6, 54–64, (1998).
Dubey, R. S. D., Generalized recurrent spaces, Indian J. Pure Appl. Math., 10, 1508-1513, (1979).
S. K. Dey and K. K. Baishya, On the existence of some types on Kenmotsu manifolds, Universal Journal of Mathematics and Mathematical Sciences. , 3(2), 13–32, (2014).
Hui, S. K., Shaikh, A. A., Roy, I., On totaly umbilical hypersurfaces of weakly conharmonically symmetric spaces, Global Journal of Pure and Applied Mathematics, 10(4), 28–31, (2010).
Jana, S. K., Shaikh, A. A., On quasi-conformally flat weakly Ricci symmetric manifolds. Acta Math. Hungarica, 115(3), 197–214, (2007).
De, U. C., Bandyopadhyay, S., On weakly symmetric spaces, Acta Mathematics Hungarica, 83, 205–212, (2000).
Derechos de autor 2020 Boletim da Sociedade Paranaense de Matemática
Esta obra está bajo licencia internacional Creative Commons Reconocimiento 4.0.
When the manuscript is accepted for publication, the authors agree automatically to transfer the copyright to the (SPM).
The journal utilize the Creative Common Attribution (CC-BY 4.0).
Funding data
