Research Article
Year 2019,
Volume: 12 Issue: 2, 169 - 181, 03.10.2019
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.
Year 2019,
Volume: 12 Issue: 2, 169 - 181, 03.10.2019
Abstract
Keywords
golden structure Schouten connection Vřanceanu connection parallelism half parallelism anti half parallelism integrability geodesic
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 | |
| Publication Date | October 3, 2019 |
| Published in Issue | Year 2019 Volume: 12 Issue: 2 |
