On Non-Existence of Weakly Symmetric Nearly Kenmotsu Manifold with Semi-symmetric Metric Connection

The object of this paper is to study the non-existence of weakly symmetric nearly Kenmotsu manifold with semi-symmetric metric connection.

Keywords:

nearly Kenmotsu manifold, weakly symmetric manifold semi-symmetric metric connection,

PDF

___

[1] N. Aktan, S. Balkan, M. Yıldırım, On weak symmetries of almost Kenmotsu (k;m;n)?spaces, Hacettepe Journal of Mathematics and Statistics, 42(4) (2013), 447-453.
[2] G. Ayar, M. Yıldırım, M., h-Ricci solitons on nearly Kenmotsu manifolds, Asian-European Journal of Mathematics 12 (6) (2019), 2040002.
[3] G. Ayar, M. Yıldırım , Ricci solitons and gradient Ricci solitons on nearly Kenmotsu manifolds, Facta Universitatis (NIS) Ser. Math. Inform. 34 (3) (2019), 503-510.
[4] D.E Blair, Contact manifolds in Riemannian geometry, Lecture Notes in Mathematics 509 , Springer-Verlag, Berlin, 1976.
[5] I. K¨upeli Erken, D. Piotr, C. Murathan, On the existence of proper nearly Kenmotsu manifolds, Mediterr. J. Math. 13 (2016), 4497-4507.
[6] A. Friedmann and J. A. Schouten, Uber die Geometrie der halbsymmetrischen Ubertragungen,Math. Z. 1(21)(1924), 211-223.
[7] H. A. Hayden, Sub-spaces of a space with torsion, Proc. London Math. Soc., 34(1932),27-50.
[8] K. Kenmotsu, A class of contact Riemannian manifold, Tohoko Math. J. 24 (1972), 93-103.
[9] K. Nomizu, On hypersurfaces satisfying a certain condition on the curvature tensor, Tohoko Mat. J. 20 (1968), 46-69.
[10] H. Ozt¨urk, On a-Kenmotsu manifolds satisfying semi-symmetric conditions, Konuralp Journal of Mathematics 5 (2017), 192-193.
[11] C.O¨ zgu¨r, On weakly symmetric Kenmotsu manifolds, Radovi Matematicki, 8(2006), 204-209.
[12] R. Prasad, S. Kumar, U.K. Gautam, On nearly Kenmotsu manifolds with semisymmetric metric connection, Ganita 68(1)(2018), 133.
[13] A. Shukla, Nearly trans-Sasakian manifolds, Kuwait J. Sci. Eng. 23 (2) (1996), 139-144.
[14] L. Tamassy and T. Q. Binh, On weakly symmetric and weakly projective symmetric Riemannian manifolds, Coll. Math. Soc. J. Bolyai 56 (1992), 663-670.
[15] Tamassy L. and Binh T. Q. On weak symmetries of Einstein and Sasakian manifolds, Tensor N. S., 53(1993), 140-148.
[16] K. Yano, On semi-symmetric metric connections, Revue Roumaina De Math. Pures Appl. 15 (1970), 1579-1586.

Yayın Aralığı: Yılda 2 Sayı
Başlangıç: 2013
Yayıncı: Mehmet Zeki SARIKAYA

Arşiv