PROLONGATIONS OF GOLDEN STRUCTURES TO TANGENT BUNDLES OF ORDER r

Volume: 65 Number: 1 February 1, 2016
  • Mustafa Özkan
  • Fatma Yılmaz
EN

PROLONGATIONS OF GOLDEN STRUCTURES TO TANGENT BUNDLES OF ORDER r

Abstract

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

Keywords

References

  1. Cordero, L.A., The extension of G-foliations to tangent bundles of higher order, Nagoya Math. J. 56 (1974), 29-44.
  2. Crasmareanu, M., Hretcanu, C.E., Golden diğerential geometry, Chaos, Solitons and Fractals (2008), 1229-1238.
  3. Gezer, A., Cengiz, N., Salimov, A., On integrability of golden Riemannian structures, Turk J. Math. 37 (2013), 693-703.
  4. Gray, A., Pseudo-Riemannian almost product manifolds and submersions, J. Math. Mech. (7) (1967), 715-737.
  5. 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.
  6. Hretcanu, C.E., Submanifolds in Riemannian manifold with golden structure, Workshop on Finsler Geometry and its Applications, Hungary, 2007.
  7. 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.
  8. Hretcanu, C.E., Crasmareanu, M., Applications of the golden ratio on Riemannian manifolds, Turk J. Math. 33 (2009), 179-191.

Details

Primary Language

English

Subjects

-

Journal Section

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Authors

Mustafa Özkan This is me

Fatma Yılmaz This is me

Publication Date

February 1, 2016

Submission Date

-

Acceptance Date

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Published in Issue

Year 2016 Volume: 65 Number: 1

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
1.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. doi:10.1501/Commua1_0000000742
Chicago
Özkan, Mustafa, and Fatma Yılmaz. 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.
EndNote
Özkan M, Yılmaz F (February 1, 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
[1]M. Özkan and F. Yılmaz, “PROLONGATIONS OF GOLDEN STRUCTURES TO TANGENT BUNDLES OF ORDER r”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 65, no. 1, pp. 35–48, Feb. 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 (February 1, 2016): 35-48. https://doi.org/10.1501/Commua1_0000000742.
JAMA
1.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, and Fatma Yılmaz. “PROLONGATIONS OF GOLDEN STRUCTURES TO TANGENT BUNDLES OF ORDER R”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 65, no. 1, Feb. 2016, pp. 35-48, doi:10.1501/Commua1_0000000742.
Vancouver
1.Mustafa Özkan, Fatma Yılmaz. PROLONGATIONS OF GOLDEN STRUCTURES TO TANGENT BUNDLES OF ORDER r. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2016 Feb. 1;65(1):35-48. doi:10.1501/Commua1_0000000742

Cited By

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

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