A note on almost Trans-1-Golden submersions
Keywords:
Golden Riemannian manifolds, C-Golden manifolds, G-Golden manifolds, almost trans-1-Golden manifolds.
Abstract
In this Note, two types of submersions whose total space is an almost trans-1-Golden manifold are studied. The study focuses on the transference of structures from the total space to the base one and the the geometry of the fibers.
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References
[1] Beldjilali, G., A New class of Golden Riemannian Manifolds, Int. Elect. J. Geom.,13(1)(2020),1-8.
[2] Beldjilali, G., 3-dimensional Golden almost contact metric manifolds, Palestine J. Math,9(1)(2020),594-603.
[3] Beldjilali, G., s-Golden Manifolds, Meditrr. J. Math. (2019), 16-56.
[4] Beldjilali, G., Induced structures in Golden Riemannian Manifolds, Beitr. Algebra Geom. 59(2018),761-777.
[5] Crasmareanu, M.,Hretcanu, C.E., Golden differential geometry. Chaos, Solitons & Fractals 38(5)(2008),1124-1146.
[7] Hretcanu, C. E., Submanifolds in Riemannian manifold with Golden structure. Workshop on Finsler Geometry and its Applications, Hungary (2017)
[8] Gezer, A., Cengiz, On integrability of Golden Riemannian structures, Turkish J. Math. 37(2013),693-703.
[9] O’neill, B., The fundamental equations of a submersion, Michigan J. Math.13(1966),459-469.
[10] Sahin, B.,Akyol, M.A.;: Golden maps between Golden Riemannian manifolds and constancy of certain maps, Math. Commun. 19, (2014)333-342.
[11] Tshikuna-Matamba,T., Superminimal fibres in an almost contact metric submersion, Iranian J. Math. Sci. and Info., 3(2)(2008),77-
88.
[12] Tshikuna-Matamba, T.,On the structure of the base space and the fibres of an almost contact metric submersion, Houston J.
Math.,23(1997),291-305.
[13] Watson, B.,Almost Hermitian submersion, J.Diff. Geom.11(1)(1976),147-165.
[14] Watson, B., The differential geometry of two types of almost contact metric submersions, The Math.Heritage of C. F. Gauss, Ed. G.
M. Rassias, World Sci. Publ. Co. Singapore, 1991, pp. 827-861.
[6] Etayo, F., Santamaria, R.,Upadhyay, A.:On the geometry of almost Golden Riemannian manifolds,Meditrr. J. Math.14(2017),187
[2] Beldjilali, G., 3-dimensional Golden almost contact metric manifolds, Palestine J. Math,9(1)(2020),594-603.
[3] Beldjilali, G., s-Golden Manifolds, Meditrr. J. Math. (2019), 16-56.
[4] Beldjilali, G., Induced structures in Golden Riemannian Manifolds, Beitr. Algebra Geom. 59(2018),761-777.
[5] Crasmareanu, M.,Hretcanu, C.E., Golden differential geometry. Chaos, Solitons & Fractals 38(5)(2008),1124-1146.
[7] Hretcanu, C. E., Submanifolds in Riemannian manifold with Golden structure. Workshop on Finsler Geometry and its Applications, Hungary (2017)
[8] Gezer, A., Cengiz, On integrability of Golden Riemannian structures, Turkish J. Math. 37(2013),693-703.
[9] O’neill, B., The fundamental equations of a submersion, Michigan J. Math.13(1966),459-469.
[10] Sahin, B.,Akyol, M.A.;: Golden maps between Golden Riemannian manifolds and constancy of certain maps, Math. Commun. 19, (2014)333-342.
[11] Tshikuna-Matamba,T., Superminimal fibres in an almost contact metric submersion, Iranian J. Math. Sci. and Info., 3(2)(2008),77-
88.
[12] Tshikuna-Matamba, T.,On the structure of the base space and the fibres of an almost contact metric submersion, Houston J.
Math.,23(1997),291-305.
[13] Watson, B.,Almost Hermitian submersion, J.Diff. Geom.11(1)(1976),147-165.
[14] Watson, B., The differential geometry of two types of almost contact metric submersions, The Math.Heritage of C. F. Gauss, Ed. G.
M. Rassias, World Sci. Publ. Co. Singapore, 1991, pp. 827-861.
[6] Etayo, F., Santamaria, R.,Upadhyay, A.:On the geometry of almost Golden Riemannian manifolds,Meditrr. J. Math.14(2017),187
Published
2020-09-21
How to Cite
Tshikuna-Matamba, T. (2020). A note on almost Trans-1-Golden submersions. Journal of Progressive Research in Mathematics, 16(4), 3167-3176. Retrieved from http://scitecresearch.com/journals/index.php/jprm/article/view/1911
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