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

Yıl 2021, Cilt: 9 Sayı: 2, 332 - 336, 15.10.2021

Öz

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

Kaynakça

  • [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.
Yıl 2021, Cilt: 9 Sayı: 2, 332 - 336, 15.10.2021

Öz

Kaynakça

  • [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.
Toplam 16 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Articles
Yazarlar

Mustafa Yıldırım

Yayımlanma Tarihi 15 Ekim 2021
Gönderilme Tarihi 19 Ekim 2021
Kabul Tarihi 1 Kasım 2021
Yayımlandığı Sayı Yıl 2021 Cilt: 9 Sayı: 2

Kaynak Göster

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. Ekim 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, sy. 2 (Ekim 2021): 332-36.
EndNote Yıldırım M (01 Ekim 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., c. 9, sy. 2, ss. 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 (Ekim 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, c. 9, sy. 2, 2021, ss. 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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