Almost Paracontact 3-Submersions
DOI:
https://doi.org/10.24297/jam.v17i0.8507Keywords:
Riemannian Submersions, Almost Paracontact Manifolds With 3-Structure, Almost Hyper Para-Hermitian ManifoldsAbstract
In this paper, we discuss some geometric properties of Riemannian submersions whose total space is an almost paracontact manifold with 3-structure. The study is focused on the transference of structures, the geometry of the fibres and sectional curvature tensor.
Downloads
References
Alekseevsky, D.V. and Kamishima, Y.: Quaternionic and paraquaternionic CR structures on (4n+3) dimensional manifolds, Central European J. Math. 2 (5) (2004),732-753.
Cabrera, F.M. Almost hyper-Hermitian structures in bundles spaces over manifolds with almost contact 3−structure, Czech. Math. J. 48 (3) (1998),545-563.
Caldarella, A.V., On paraquaternionic submersions between paraquaternionic Kähler manifolds, Acta Math., 112 (2010),1-14.
Caldarella, A.V., and Pastore, A.M., Mixed 3-Sasakian structures and curvature, Ann. Polon. Math., 96(2) (2009),107-125.
Cappelletti-Montano, B., Bi-paracontact structures and Legendre foliations, Kodai Math. J., 33(2010),473-512.
T.Tshikuna-Matamba
Cappelletti-Montano, B., Carriazo, A. and Martin-Molina, V., Sasaki-Einstein and paraSasaki-Einstein metrics from (k, µ)-structures, J. Geom. Phys., 73 (2013),20-36.
Dacko, P., On almost para-cosymplectic manifolds, Tsukuba J. Math. 28 (2004),193-213.
Dacko, P. and Olszak, Z. On weakly para-cosymplectic manifolds of dimension 3, J. Geom. Physics, 57 (2007),561-570.
Deshmukh, S. and Khan, A.G., Almost paracontact 3-structure on a differentiable manifold, Indian J. pure appl. Math., 10 (4)(1979), 442-448.
Gunduzalp, Y. and Sahin, B., Paracontact semi-Riemannian submersions, Turkish J. Math., 37 (2013), 114-128.
Ivanov, S. and Zamkovoy, S. Para-Hermitian and para-quaternionic manifolds, Differential Geom. Appl., 23 (2005),205-234.
Kaneyuki, S. and Williams, F.L., Almost paracontact and paraHodge structures on manifolds, Nagoya Math. J., 99 (1985),173-187.
Kupeli Erken, I., On normal almost paracontact metric manifolds of dimension 3, Facta Universitatis (Nis) Ser. Math. Inform. 30 (5) (2015), 777-788.
Kupeli Erken, I., Some clases of 3-dimensional normal almost paracontact metric manifolds, Honam Mathematical J. 37 (4) (2015) 457-468.
Martin-Molina, V., Paracontact metric manifolds without a contact metric counterpart, Taiwanese J. Math., 19 (2015),175-191.
O’neill, B., The fundamental equations of a submersion, Michigan Math.J., 13 (1966), 459-469.
Tshikuna-Matamba, T.: On the ϕ-linearity of the configuration tensors of an almost contact metric submersion, Bull. Math. Soc. Sci. Math. de Roumanie,37 (1993),165-174. Almost Paracontact 3-Submersions 13
Tshikuna-Matamba, T.: Geometric properties of almost contact metric 3−submersions, Periodica Math. Hungar, 52(1) (2006),101-119.
Tshikuna-Matamba, T., On the fibres of an almost paracontact metric submersion, J. Math. Univ. Tokushima, 50 (2016),1-13.
Tshikuna-Matamba, T., On the base space of an almost paracontact submersion, Facta Universitatis (Nis), Ser. Math. Inform.,31 (5) (2016), 1041-1049.
Tshikuna-Matamba, T., Some properties of G1-paracontact submersions, Global Journal of Mathematics, 9 (2) (2017),585-594.
Tshikuna-Matamba, T., On G2-paracontact submersions, Journal of Advance in Mathematical Science, 3 (2) (2017),224-237.
Tshikuna-Matamba, T., Produit de variétés en géométrie paracontacte, Ann.Sc. Unikin, 2 (2017),1-8.
Watson, B.: G,G’-Riemannian submersions and non linear gauge field equations of general relativity, Global Analysis-Analysis on manifolds, Ed.T.M. Rassias, Teubner Press, Leipzig ,1983,pp.324-349.
Watson, B.: Almost contact metric 3-submersions, Int.J.Math.Math. Sci.,7 (1984),667-688.
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. Pub.Co., Singapore,1991,pp.827-861.
Zamkovoy, S., Cannonical connections on paracontact manifolds, Ann.Global Anal. Geometry, 36 (2009),37-60.
Downloads
Published
How to Cite
Issue
Section
License
All articles published in Journal of Advances in Linguistics are licensed under a Creative Commons Attribution 4.0 International License.