1 |
L. A. Cordero and D. M. Len, Prolongation of G-structures to the frame bundle, Ann. Mat. Pura. Appl., 143(1986), 123-141. https://doi.org/10.1007/BF01769212
DOI
|
2 |
S. Azami, Natural metallic structure on tangent bundle, Iran. J. Sci. Technol. Trans. A Sci., 42(1)(2018), 81-88.
DOI
|
3 |
L. Bilen, S. Turanli and A. Gezer, On Kahler-Norden-Codazzi golden structures on pseudo-Riemannian manifolds, Int. J. Geom. Methods Mod. Phys., 15(5)(2018), 1850080, 10pp.
DOI
|
4 |
A. Bonome, R. Castro and L. M. Hervella, Almost complex structure in the frame bundle of an almost contact metric manifold, Math. Z., 193(1986), 431-440.
DOI
|
5 |
L. A. Cordero, C. T. Dodson and M. D. Leon, Differential Geometry of Frame Bundles, Springer Netherlands, Kluwer Academic Publishers, 1989.
|
6 |
S. Gonul, I. Kupeli Erken, A. Yazla and C. Murathan, Neutral relation between metallic structure and almost quadratic ø-structure, Turkish J. Math., 43(1)(2019), 268-278.
DOI
|
7 |
C. E. Hretcanu and M. Crasmareanu, Metallic structures on Riemannian manifolds, Rev. Un. Mat. Argentina, 54(2)(2013), 15-27.
|
8 |
C. E. Hretcanu and A. M. Blaga, Submanifolds in metallic Riemannian manifolds, Differ. Geom. Dyn. Syst., 20(2018), 83-97.
|
9 |
C. E. Hretcanu and A. M. Blaga, Slant and semi-slant submanifolds in metallic Riemannian manifolds, J. Funct. Spaces, 2018 ID 2864263 (2018), 1-13.
|
10 |
M. N. I. Khan, Complete and horizontal lifts of metallic structures, Int. J. Math. Comput. Sci., 15(4)(2020), 983-992.
|
11 |
M. N. I. Khan, Tangent bundle endowed with quarter-symmetric non-metric connection on an almost Hermitian manifold, Facta Univ. Ser. Math. Inform., 35(1)(2020), 167-178.
|
12 |
O. Kowalski and M. Sekizawa, Curvatures of the diagonal lift from an affine manifold to the linear frame bundle, Cent. Eur. J. Math., 10(3)(2012), 837-843.
DOI
|
13 |
M. Ozkan and F. Yilmaz, Metallic structures on differentiable manifolds, Journal of Science and Arts, 44(2018), 645-660.
|
14 |
A. Gezer, C. Karaman, On metallic Riemannian structures, Turkish J. Math., 39(6)(2015), 954-962.
DOI
|
15 |
V. W. de Spinadel, The metallic means family and multifractal spectra, Nonlinear Anal., 36(1999), 721-745.
DOI
|
16 |
M. Lachieze-Rey, Connections and frame bundle Reductions, arXiv:2002.01410 [mathph], 4 Feb, 2020.
|
17 |
A. Stakhov, The generalized golden proportions, a new theory of real numbers, and ternary mirror-symmetrical arithmetic, Chaos Solitons and Fractals, 33(2007), 315-334.
DOI
|
18 |
S. Tuanli, A. Gezer and H. Cakicioglu, Metallic Kahler and nearly Kahler manifolds, arXiv:1907.00726 [math.GM], 25 June, 2019.
|
19 |
K. Yano and M. Kon, Structures on manifolds, Series in Pure Mathematics. Singapore: World Scientific, 1984.
|
20 |
M. Crasmareanu and C. E. Hretcanu, Golden differential geometry, Chaos Solitons Fractals, 38(2008), 1229-1238.
DOI
|
21 |
S. I. Goldberg and K. Yano, Polynomial structures on manifolds, Kodai Math. Sem. Rep., 22(1970), 199-218.
DOI
|
22 |
S. I. Goldberg and N. C. Petridis, Differentiable solutions of algebraic equations on manifolds, Kodai Math. Sem. Rep., 25(1973), 111-128.
DOI
|
23 |
C. E. Hretcanu and A. M. Blaga, Hemi-slant submanifolds in metallic Riemannian manifolds, Carpathian J. Math., 35(1)(2019), 59-68.
DOI
|
24 |
M. N. I. Khan, Novel theorems for the frame bundle endowed with metallic structures on an almost contact metric manifold, Chaos Solitons Fractals, 146(2021), 110872. https://doi.org/10.1016/j.chaos.2021.110872.
DOI
|
25 |
K. Yano and S. Ishihara, Tangent and cotangent bundles, Marcel Dekker, Inc., New York, 1973.
|
26 |
K. Niedzialomski, On the frame bundle adapted to a submanifold, Math. Nachr., 288(5-6)(2015), 648-664.
DOI
|
27 |
M. Ozkan and B. Peltek, A new structure on manifolds: silver structure, Int. Electron. J. Geom., 9(2)(2016), 59-69.
DOI
|
28 |
V. W. de. Spinadel, On characterization of the onset to chaos, Chaos Solitons Fractals, 8(10)(1997), 1631-1643.
DOI
|
29 |
M. Ozkan, Prolongations of golden structures to tangent bundles, Differ. Geom. Dyn. Syst., 16(2014), 227-239.
|