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

Year 2021, Volume: 9 Issue: 2, 332 - 336, 15.10.2021

Mustafa Yıldırım

Abstract

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

References

  • [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.

Year 2021, Volume: 9 Issue: 2, 332 - 336, 15.10.2021

Mustafa Yıldırım

Abstract

References

  • [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.
There are 16 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Articles
Authors

Mustafa Yıldırım

Publication Date October 15, 2021
Submission Date October 19, 2021
Acceptance Date November 1, 2021
Published in Issue Year 2021 Volume: 9 Issue: 2

Cite

APA Yıldırım, M. (2021). On Non-Existence of Weakly Symmetric Nearly Kenmotsu Manifold with Semi-symmetric Metric Connection. Konuralp Journal of Mathematics, 9(2), 332-336.
AMA Yıldırım M. On Non-Existence of Weakly Symmetric Nearly Kenmotsu Manifold with Semi-symmetric Metric Connection. Konuralp J. Math. October 2021;9(2):332-336.
Chicago Yıldırım, Mustafa. “On Non-Existence of Weakly Symmetric Nearly Kenmotsu Manifold With Semi-Symmetric Metric Connection”. Konuralp Journal of Mathematics 9, no. 2 (October 2021): 332-36.
EndNote Yıldırım M (October 1, 2021) On Non-Existence of Weakly Symmetric Nearly Kenmotsu Manifold with Semi-symmetric Metric Connection. Konuralp Journal of Mathematics 9 2 332–336.
IEEE M. Yıldırım, “On Non-Existence of Weakly Symmetric Nearly Kenmotsu Manifold with Semi-symmetric Metric Connection”, Konuralp J. Math., vol. 9, no. 2, pp. 332–336, 2021.
ISNAD Yıldırım, Mustafa. “On Non-Existence of Weakly Symmetric Nearly Kenmotsu Manifold With Semi-Symmetric Metric Connection”. Konuralp Journal of Mathematics 9/2 (October 2021), 332-336.
JAMA Yıldırım M. On Non-Existence of Weakly Symmetric Nearly Kenmotsu Manifold with Semi-symmetric Metric Connection. Konuralp J. Math. 2021;9:332–336.
MLA Yıldırım, Mustafa. “On Non-Existence of Weakly Symmetric Nearly Kenmotsu Manifold With Semi-Symmetric Metric Connection”. Konuralp Journal of Mathematics, vol. 9, no. 2, 2021, pp. 332-6.
Vancouver Yıldırım M. On Non-Existence of Weakly Symmetric Nearly Kenmotsu Manifold with Semi-symmetric Metric Connection. Konuralp J. Math. 2021;9(2):332-6.
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