BibTex RIS Cite
Year 2018, Volume: 67 Issue: 2, 242 - 251, 01.08.2018

Abstract

References

  • Gezer A., Karaman C., On metallic Riemannian structures. Turk J Math, 39, (2015), 954-962.
  • Gezer A., Karaman C., On golden semi-symmetric metric F -connecitons, Turk J Math, DOI: 3906/mat-1510-77.
  • Hayden H. A. , Sub-spaces of a space with torsion. Proc. London Math. Soc. S2-34 (1932), 50.
  • Hretcanu C. ,Crasmareanu M., Metallic structures on Riemannian manifolds. Rev Un Mat Argentina 2013; 54: 15-27.
  • Crasmareanu M. ,Hretcanu C. E. , Golden diğerential geometry. Chaos Solitons Fractals 38 (2008), no. 5, 1229–1238. de Spinadel VW., The metallic means family and multifractal spectra. Nonlinear Anal Ser B 1999; 36: 721-745. de Spinadel VW., The family of metallic means. Vis Math 1999; 1: 3.
  • Pusic N., On some connections on locally product Riemannian manifolds-part II. Novi Sad J. Math. 41 (2011), no. 2, 41-56.
  • Pusic N., On some connections on locally product Riemannian manifolds-part I. Novi Sad J. Math. 41 (2011), no. 2, 29-40.
  • Prvanovic M., Locally decomposable Riemannian manifold endowed with some semi- symmetric F connection. Bull. Cl. Sci. Math. Nat. Sci. Math. No. 22 (1997), 45–56.
  • Prvanovic M., Some special product semi-symmetric and some special holomorphically semi- symmetric F connections. Publ. Inst. Math. (Beograd) (N.S.) 35(49) (1984), 139-152.
  • Prvanovic M., Product semi-symmetric connections of the locally decomposable Riemannian spaces. Bull. Acad. Serbe Sci. Arts Cl. Sci. Math. Natur. (N.S.) 10 (1979), 17-27.
  • Salimov A., Tensor operators and their applications. Mathematics Research Developments Series. Nova Science Publishers, Inc., New York, 2013. xii+186 pp.
  • Tachibana S., Analytic tensor and its generalization. Tohoku Math. J. 12 (1960), 208-221.
  • Yano K., On semi-symmetric metric connection. Rev. Roumaine Math. Pures Appl. 15 (1970), 1586.
  • Yano K., M. Ako, On certain operators associated with tensor …elds. Kodai Math. Sem. Rep. (1968), 414-436.
  • Current address : Ataturk University, Oltu Faculty of Earth Science, Geomatics Engineering, , Erzurum-Turkey. E-mail address : cagri.karaman@atauni.edu.tr ORCID Address: https://orcid.org/0000-0001-6532-6317

ON METALLIC SEMI-SYMMETRIC METRICF CONNECTIONS

Year 2018, Volume: 67 Issue: 2, 242 - 251, 01.08.2018

Abstract

Abstract. In this article, we generate a metallic semi-symmetric metric F-connection
on a locally decomposable metallic Riemann manifold. Also, we
examine some features of torsion and curvature tensor fields of this connection

References

  • Gezer A., Karaman C., On metallic Riemannian structures. Turk J Math, 39, (2015), 954-962.
  • Gezer A., Karaman C., On golden semi-symmetric metric F -connecitons, Turk J Math, DOI: 3906/mat-1510-77.
  • Hayden H. A. , Sub-spaces of a space with torsion. Proc. London Math. Soc. S2-34 (1932), 50.
  • Hretcanu C. ,Crasmareanu M., Metallic structures on Riemannian manifolds. Rev Un Mat Argentina 2013; 54: 15-27.
  • Crasmareanu M. ,Hretcanu C. E. , Golden diğerential geometry. Chaos Solitons Fractals 38 (2008), no. 5, 1229–1238. de Spinadel VW., The metallic means family and multifractal spectra. Nonlinear Anal Ser B 1999; 36: 721-745. de Spinadel VW., The family of metallic means. Vis Math 1999; 1: 3.
  • Pusic N., On some connections on locally product Riemannian manifolds-part II. Novi Sad J. Math. 41 (2011), no. 2, 41-56.
  • Pusic N., On some connections on locally product Riemannian manifolds-part I. Novi Sad J. Math. 41 (2011), no. 2, 29-40.
  • Prvanovic M., Locally decomposable Riemannian manifold endowed with some semi- symmetric F connection. Bull. Cl. Sci. Math. Nat. Sci. Math. No. 22 (1997), 45–56.
  • Prvanovic M., Some special product semi-symmetric and some special holomorphically semi- symmetric F connections. Publ. Inst. Math. (Beograd) (N.S.) 35(49) (1984), 139-152.
  • Prvanovic M., Product semi-symmetric connections of the locally decomposable Riemannian spaces. Bull. Acad. Serbe Sci. Arts Cl. Sci. Math. Natur. (N.S.) 10 (1979), 17-27.
  • Salimov A., Tensor operators and their applications. Mathematics Research Developments Series. Nova Science Publishers, Inc., New York, 2013. xii+186 pp.
  • Tachibana S., Analytic tensor and its generalization. Tohoku Math. J. 12 (1960), 208-221.
  • Yano K., On semi-symmetric metric connection. Rev. Roumaine Math. Pures Appl. 15 (1970), 1586.
  • Yano K., M. Ako, On certain operators associated with tensor …elds. Kodai Math. Sem. Rep. (1968), 414-436.
  • Current address : Ataturk University, Oltu Faculty of Earth Science, Geomatics Engineering, , Erzurum-Turkey. E-mail address : cagri.karaman@atauni.edu.tr ORCID Address: https://orcid.org/0000-0001-6532-6317
There are 15 citations in total.

Details

Other ID JA96EM34AS
Journal Section Research Article
Authors

Çağrı Karaman This is me

Publication Date August 1, 2018
Submission Date August 1, 2018
Published in Issue Year 2018 Volume: 67 Issue: 2

Cite

APA Karaman, Ç. (2018). ON METALLIC SEMI-SYMMETRIC METRICF CONNECTIONS. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 67(2), 242-251.
AMA Karaman Ç. ON METALLIC SEMI-SYMMETRIC METRICF CONNECTIONS. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. August 2018;67(2):242-251.
Chicago Karaman, Çağrı. “ON METALLIC SEMI-SYMMETRIC METRICF CONNECTIONS”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 67, no. 2 (August 2018): 242-51.
EndNote Karaman Ç (August 1, 2018) ON METALLIC SEMI-SYMMETRIC METRICF CONNECTIONS. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 67 2 242–251.
IEEE Ç. Karaman, “ON METALLIC SEMI-SYMMETRIC METRICF CONNECTIONS”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 67, no. 2, pp. 242–251, 2018.
ISNAD Karaman, Çağrı. “ON METALLIC SEMI-SYMMETRIC METRICF CONNECTIONS”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 67/2 (August 2018), 242-251.
JAMA Karaman Ç. ON METALLIC SEMI-SYMMETRIC METRICF CONNECTIONS. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2018;67:242–251.
MLA Karaman, Çağrı. “ON METALLIC SEMI-SYMMETRIC METRICF CONNECTIONS”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 67, no. 2, 2018, pp. 242-51.
Vancouver Karaman Ç. ON METALLIC SEMI-SYMMETRIC METRICF CONNECTIONS. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2018;67(2):242-51.

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.