BibTex RIS Kaynak Göster

PROLONGATIONS OF GOLDEN STRUCTURES TO TANGENT BUNDLES OF ORDER r

Yıl 2016, Cilt: 65 Sayı: 1, 35 - 48, 01.02.2016
https://doi.org/10.1501/Commua1_0000000742

Öz

Our purpose in this paper is to focus on some applications in differential geometry of golden structure. We study rlift of the golden structure
in tangent bundle of order r and we obtain integrabilitiy conditions of golden
structure in TrM

Kaynakça

  • Cordero, L.A., The extension of G-foliations to tangent bundles of higher order, Nagoya Math. J. 56 (1974), 29-44.
  • Crasmareanu, M., Hretcanu, C.E., Golden diğerential geometry, Chaos, Solitons and Fractals (2008), 1229-1238.
  • Gezer, A., Cengiz, N., Salimov, A., On integrability of golden Riemannian structures, Turk J. Math. 37 (2013), 693-703.
  • Gray, A., Pseudo-Riemannian almost product manifolds and submersions, J. Math. Mech. (7) (1967), 715-737.
  • Houh, C.S., Ishihara, S., Tensor …elds and connections on a cross-section in the tangent bundle of order r, Kodai Math. Sem. Rep. 24 (1972), 234-250.
  • Hretcanu, C.E., Submanifolds in Riemannian manifold with golden structure, Workshop on Finsler Geometry and its Applications, Hungary, 2007.
  • Hretcanu, C.E., Crasmareanu, M., On some invariant submanifolds in a Riemannian manifold with golden structure, An. ¸Stiin¸t. Univ. Al. I. Cuza Ia¸si. Mat. (N.S.) 53(1) (2007), 199-211.
  • Hretcanu, C.E., Crasmareanu, M., Applications of the golden ratio on Riemannian manifolds, Turk J. Math. 33 (2009), 179-191.
  • Morimoto, A., Prolongation of G-structures to tangent bundles of higher order, Nagoya Math. J. 38 (1970), 153-179.
  • Morimoto, A., Liftings of tensor …elds and connections to tangent bundles of higher order, Nagoya Math. J. 40 (1970), 99-120.
  • Omran, T., Sharğuddin, A., Husain, S.I., Lifts of structures on manifolds, Publications De L’institut Math. 36, 50 (1984), 93-97.
  • Özdemir, F., Crasmareanu, M., Geometrical ob jects associated to a substructure, Turk J. Math. 34 (2010), 1-12.
  • Özkan, M., Prolongations of golden structures to tangent bundles, Diğer. Geom. Dyn. Syst. (2014), 227-238.
  • Pripoae, G.T., Classi…cation of semi-Riemannian almost product structure, BSG Proc. 11, Geometry Balkan Press, Bucharest (2004), 243-251.
  • ¸Sahin, B., Akyol, M.A., Golden maps between Golden Riemannian manifolds and constancy of certain maps, Math. Commun. 19 (2014), 1-10.
  • Yardımcı, E.H., Yaylı, Y., Golden quaternionic structures, Int. Electron. J. Pure Appl. Math. (2014), 109-125.
  • Yano, K., Ishihara, S., Tangent and cotangent bundle, 1973, New York: Marcel Dekker Inc.
  • Current address, M. Özkan: Gazi University, Faculty of Science, Department of Mathematics, , Teknikokullar / Ankara - Turkey E-mail address, M. Özkan: ozkanm@gazi.edu.tr Current address, F. Yılmaz: Gazi University, Faculty of Science, Department of Mathematics, , Teknikokullar / Ankara - Turkey E-mail address, F. Yılmaz: fatmayilmaz@gazi.edu.tr
Yıl 2016, Cilt: 65 Sayı: 1, 35 - 48, 01.02.2016
https://doi.org/10.1501/Commua1_0000000742

Öz

Kaynakça

  • Cordero, L.A., The extension of G-foliations to tangent bundles of higher order, Nagoya Math. J. 56 (1974), 29-44.
  • Crasmareanu, M., Hretcanu, C.E., Golden diğerential geometry, Chaos, Solitons and Fractals (2008), 1229-1238.
  • Gezer, A., Cengiz, N., Salimov, A., On integrability of golden Riemannian structures, Turk J. Math. 37 (2013), 693-703.
  • Gray, A., Pseudo-Riemannian almost product manifolds and submersions, J. Math. Mech. (7) (1967), 715-737.
  • Houh, C.S., Ishihara, S., Tensor …elds and connections on a cross-section in the tangent bundle of order r, Kodai Math. Sem. Rep. 24 (1972), 234-250.
  • Hretcanu, C.E., Submanifolds in Riemannian manifold with golden structure, Workshop on Finsler Geometry and its Applications, Hungary, 2007.
  • Hretcanu, C.E., Crasmareanu, M., On some invariant submanifolds in a Riemannian manifold with golden structure, An. ¸Stiin¸t. Univ. Al. I. Cuza Ia¸si. Mat. (N.S.) 53(1) (2007), 199-211.
  • Hretcanu, C.E., Crasmareanu, M., Applications of the golden ratio on Riemannian manifolds, Turk J. Math. 33 (2009), 179-191.
  • Morimoto, A., Prolongation of G-structures to tangent bundles of higher order, Nagoya Math. J. 38 (1970), 153-179.
  • Morimoto, A., Liftings of tensor …elds and connections to tangent bundles of higher order, Nagoya Math. J. 40 (1970), 99-120.
  • Omran, T., Sharğuddin, A., Husain, S.I., Lifts of structures on manifolds, Publications De L’institut Math. 36, 50 (1984), 93-97.
  • Özdemir, F., Crasmareanu, M., Geometrical ob jects associated to a substructure, Turk J. Math. 34 (2010), 1-12.
  • Özkan, M., Prolongations of golden structures to tangent bundles, Diğer. Geom. Dyn. Syst. (2014), 227-238.
  • Pripoae, G.T., Classi…cation of semi-Riemannian almost product structure, BSG Proc. 11, Geometry Balkan Press, Bucharest (2004), 243-251.
  • ¸Sahin, B., Akyol, M.A., Golden maps between Golden Riemannian manifolds and constancy of certain maps, Math. Commun. 19 (2014), 1-10.
  • Yardımcı, E.H., Yaylı, Y., Golden quaternionic structures, Int. Electron. J. Pure Appl. Math. (2014), 109-125.
  • Yano, K., Ishihara, S., Tangent and cotangent bundle, 1973, New York: Marcel Dekker Inc.
  • Current address, M. Özkan: Gazi University, Faculty of Science, Department of Mathematics, , Teknikokullar / Ankara - Turkey E-mail address, M. Özkan: ozkanm@gazi.edu.tr Current address, F. Yılmaz: Gazi University, Faculty of Science, Department of Mathematics, , Teknikokullar / Ankara - Turkey E-mail address, F. Yılmaz: fatmayilmaz@gazi.edu.tr
Toplam 18 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Research Article
Yazarlar

Mustafa Özkan Bu kişi benim

Fatma Yılmaz Bu kişi benim

Yayımlanma Tarihi 1 Şubat 2016
Yayımlandığı Sayı Yıl 2016 Cilt: 65 Sayı: 1

Kaynak Göster

APA Özkan, M., & Yılmaz, F. (2016). PROLONGATIONS OF GOLDEN STRUCTURES TO TANGENT BUNDLES OF ORDER r. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 65(1), 35-48. https://doi.org/10.1501/Commua1_0000000742
AMA Özkan M, Yılmaz F. PROLONGATIONS OF GOLDEN STRUCTURES TO TANGENT BUNDLES OF ORDER r. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. Şubat 2016;65(1):35-48. doi:10.1501/Commua1_0000000742
Chicago Özkan, Mustafa, ve Fatma Yılmaz. “PROLONGATIONS OF GOLDEN STRUCTURES TO TANGENT BUNDLES OF ORDER R”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 65, sy. 1 (Şubat 2016): 35-48. https://doi.org/10.1501/Commua1_0000000742.
EndNote Özkan M, Yılmaz F (01 Şubat 2016) PROLONGATIONS OF GOLDEN STRUCTURES TO TANGENT BUNDLES OF ORDER r. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 65 1 35–48.
IEEE M. Özkan ve F. Yılmaz, “PROLONGATIONS OF GOLDEN STRUCTURES TO TANGENT BUNDLES OF ORDER r”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., c. 65, sy. 1, ss. 35–48, 2016, doi: 10.1501/Commua1_0000000742.
ISNAD Özkan, Mustafa - Yılmaz, Fatma. “PROLONGATIONS OF GOLDEN STRUCTURES TO TANGENT BUNDLES OF ORDER R”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 65/1 (Şubat 2016), 35-48. https://doi.org/10.1501/Commua1_0000000742.
JAMA Özkan M, Yılmaz F. PROLONGATIONS OF GOLDEN STRUCTURES TO TANGENT BUNDLES OF ORDER r. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2016;65:35–48.
MLA Özkan, Mustafa ve Fatma Yılmaz. “PROLONGATIONS OF GOLDEN STRUCTURES TO TANGENT BUNDLES OF ORDER R”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, c. 65, sy. 1, 2016, ss. 35-48, doi:10.1501/Commua1_0000000742.
Vancouver Özkan M, Yılmaz F. PROLONGATIONS OF GOLDEN STRUCTURES TO TANGENT BUNDLES OF ORDER r. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2016;65(1):35-48.

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

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