Research Article
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Year 2019, , 169 - 181, 03.10.2019
https://doi.org/10.36890/iejg.628070

Abstract

References

  • \bibitem{Goldberg-Yano-1970} Goldberg, S. I. and Yano, K., Polynomial Structures on Manifolds. \emph{Kodai Math. Sem. Rep.} 22 (1970), no. 2, 199-218.
  • \bibitem{Hretcanu-2008} Hre\c{t}canu, C. E., Submanifolds in Riemannian Manifolds with Golden Structure. \emph{Acta Math. Acad. Paedagog. Nyh\'{a}zi. (N.S.)} 24 (2008), no. 1, 3-4.
  • \bibitem{Crasmareanu-Hretcanu-2008} Cr\^{a}\c{s}m\u{a}reanu, M. C. and Hre% \c{t}canu, C. E., Golden Differential Geometry. \emph{Chaos Soliton. Fract.} 38 (2008), no. 5, 1229-1238.
  • \bibitem{Hretcanua-Crasmareanu-2007} Hre\c{t}canu, C.E. and Cr\^{a}\c{s}m% \u{a}reanu, M. C., On Some Invariant Submanifolds in a Riemannian Manifold with Golden Structure. \emph{An. \c{S}tiin\c{t}. Univ. Al. I. Cuza Ia\c{s}i. Mat. (N.S.)} 53 (2007), suppl. 1, 199-211.
  • \bibitem{Hretcanu-Crasmareanu-2009} Hre\c{t}canu, C. E. and Cr\^{a}\c{s}m% \u{a}reanu, M. C., Applications of the Golden Ratio on Riemannian Manifolds. \emph{Turk. J. Math.} 33 (2009), no. 2, 179-191.
  • \bibitem{Ianus-1971-a} Ianu\c{s}, S., Some Almost Product Structures on Manifolds with Linear Connection. \emph{Kodai Math. Sem. Rep.} 23 (1971), no. 3, 305-310.
  • \bibitem{Das-Nikic-Nivas-2006} Das, L. S., Niki\'{c}, J. and Nivas, R., Parallelism of Distributions and Geodesics on $F\left( a_{1},a_{2},\ldots ,a_{n}\right) $-structure Lagrangian Manifolds. \emph{Differ. Geom. Dyn. Syst.} 8 (2006), no. 1, 82-89.
  • \bibitem{Bejancu-Farran-2006} Bejancu, A. and Farran, H. D., Foliations and Geometric Structures. Springer, Amsterdam, 2006.
  • \bibitem{Ianus-1971-b} Ianu\c{s}, S., Sur les Structures Presque Produit des Varietes a Connection Lineairei. \emph{C. R. Acad. Sci.} 272 (1971), no. 11, 734-735.

Schouten and Vrănceanu Connections on Golden Manifolds

Year 2019, , 169 - 181, 03.10.2019
https://doi.org/10.36890/iejg.628070

Abstract


References

  • \bibitem{Goldberg-Yano-1970} Goldberg, S. I. and Yano, K., Polynomial Structures on Manifolds. \emph{Kodai Math. Sem. Rep.} 22 (1970), no. 2, 199-218.
  • \bibitem{Hretcanu-2008} Hre\c{t}canu, C. E., Submanifolds in Riemannian Manifolds with Golden Structure. \emph{Acta Math. Acad. Paedagog. Nyh\'{a}zi. (N.S.)} 24 (2008), no. 1, 3-4.
  • \bibitem{Crasmareanu-Hretcanu-2008} Cr\^{a}\c{s}m\u{a}reanu, M. C. and Hre% \c{t}canu, C. E., Golden Differential Geometry. \emph{Chaos Soliton. Fract.} 38 (2008), no. 5, 1229-1238.
  • \bibitem{Hretcanua-Crasmareanu-2007} Hre\c{t}canu, C.E. and Cr\^{a}\c{s}m% \u{a}reanu, M. C., On Some Invariant Submanifolds in a Riemannian Manifold with Golden Structure. \emph{An. \c{S}tiin\c{t}. Univ. Al. I. Cuza Ia\c{s}i. Mat. (N.S.)} 53 (2007), suppl. 1, 199-211.
  • \bibitem{Hretcanu-Crasmareanu-2009} Hre\c{t}canu, C. E. and Cr\^{a}\c{s}m% \u{a}reanu, M. C., Applications of the Golden Ratio on Riemannian Manifolds. \emph{Turk. J. Math.} 33 (2009), no. 2, 179-191.
  • \bibitem{Ianus-1971-a} Ianu\c{s}, S., Some Almost Product Structures on Manifolds with Linear Connection. \emph{Kodai Math. Sem. Rep.} 23 (1971), no. 3, 305-310.
  • \bibitem{Das-Nikic-Nivas-2006} Das, L. S., Niki\'{c}, J. and Nivas, R., Parallelism of Distributions and Geodesics on $F\left( a_{1},a_{2},\ldots ,a_{n}\right) $-structure Lagrangian Manifolds. \emph{Differ. Geom. Dyn. Syst.} 8 (2006), no. 1, 82-89.
  • \bibitem{Bejancu-Farran-2006} Bejancu, A. and Farran, H. D., Foliations and Geometric Structures. Springer, Amsterdam, 2006.
  • \bibitem{Ianus-1971-b} Ianu\c{s}, S., Sur les Structures Presque Produit des Varietes a Connection Lineairei. \emph{C. R. Acad. Sci.} 272 (1971), no. 11, 734-735.
There are 9 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Research Article
Authors

Mustafa Gök

Sadık Keleş

Erol Kılıç

Publication Date October 3, 2019
Published in Issue Year 2019

Cite

APA Gök, M., Keleş, S., & Kılıç, E. (2019). Schouten and Vrănceanu Connections on Golden Manifolds. International Electronic Journal of Geometry, 12(2), 169-181. https://doi.org/10.36890/iejg.628070
AMA Gök M, Keleş S, Kılıç E. Schouten and Vrănceanu Connections on Golden Manifolds. Int. Electron. J. Geom. October 2019;12(2):169-181. doi:10.36890/iejg.628070
Chicago Gök, Mustafa, Sadık Keleş, and Erol Kılıç. “Schouten and Vrănceanu Connections on Golden Manifolds”. International Electronic Journal of Geometry 12, no. 2 (October 2019): 169-81. https://doi.org/10.36890/iejg.628070.
EndNote Gök M, Keleş S, Kılıç E (October 1, 2019) Schouten and Vrănceanu Connections on Golden Manifolds. International Electronic Journal of Geometry 12 2 169–181.
IEEE M. Gök, S. Keleş, and E. Kılıç, “Schouten and Vrănceanu Connections on Golden Manifolds”, Int. Electron. J. Geom., vol. 12, no. 2, pp. 169–181, 2019, doi: 10.36890/iejg.628070.
ISNAD Gök, Mustafa et al. “Schouten and Vrănceanu Connections on Golden Manifolds”. International Electronic Journal of Geometry 12/2 (October 2019), 169-181. https://doi.org/10.36890/iejg.628070.
JAMA Gök M, Keleş S, Kılıç E. Schouten and Vrănceanu Connections on Golden Manifolds. Int. Electron. J. Geom. 2019;12:169–181.
MLA Gök, Mustafa et al. “Schouten and Vrănceanu Connections on Golden Manifolds”. International Electronic Journal of Geometry, vol. 12, no. 2, 2019, pp. 169-81, doi:10.36890/iejg.628070.
Vancouver Gök M, Keleş S, Kılıç E. Schouten and Vrănceanu Connections on Golden Manifolds. Int. Electron. J. Geom. 2019;12(2):169-81.