Slant submersions in paracontact geometry
In this paper, we investigate some geometric properties of three types of slant submersions whose total space is an almost paracontact metric manifold.
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- [1] M.A. Akyol, Conformal semi-slant submersions, Int. J. Geom. Methods Mod. Phys.
14 (7), 2017.
- [2] M.A. Akyol, Conformal anti-invariant submersions from cosymplectic manifolds,
Hacet. J. Math. Stat. 46 (2), 177-192, 2017.
- [3] G. Baditoiu and S. Ianus, Semi-Riemannian submersions from real and complex
pseudo-hyperbolic spaces, Diff. Geom. and appl. 16, 79-84, 2002.
- [4] J.P. Bourguignon and H.B. Lawson, A mathematician’s visit to Kaluza- Klein theory,
Rend. Sem. Mat. Univ. Politec. Torino, Special Issue, 143-163, 1989.
- [5] J.P. Bourguignon and H.B. Lawson, Stability and isolation phenomena for Yang-Mills
fields, Comm. Math. Phys. 79, 189-230, 1981.
- [6] A.V. Caldarella, On para-quaternionic submersions between para-quaternionic Kähler
manifolds, Acta Applicandae Mathematicae 112, 1-14, 2010.
- [7] P. Dacko, On almost para-cosymplectic manifolds, Tsukuba J. Math. 28 (1), 193-213,
2004.
- [8] M. Falcitelli, S. Ianus and A. M. Pastore, Riemannian Submersions and Related Topics,
World Scientific, 2004.
- [9] Y. Gündüzalp and B. Sahin, Paracontact semi-Riemannian submersions, Turk.
J.Math. 37 (1), 114-128, 2013.
- [10] Y. Gündüzalp, B. Sahin, Para-contact para-complex semi-Riemannian submersions,
Bull. Malays. Math. Sci. Soc. 37 (1), 139-152, 2014.
- [11] Y. Gündüzalp, Anti-invariant semi-Riemannian submersions from almost para-
Hermitian manifolds, J. Funct. Spaces 2013, ID 720623, 2013.
- [12] Y. Gündüzalp, Slant submersions from almost product Riemannian manifolds,
Turk. J. Math. 37, 863-873, 2013.
- [13] Y. Gündüzalp and M.A. Akyol, Conformal slant submersions from cosymplectic manifolds,
Turk. J. Math. 42 (5), 2672-2689, 2018.
- [14] A. Gray, Pseudo-Riemannian almost product manifolds and submersions, J. Math.
Mech. 16, 715-737, 1967.
- [15] S. Ianus and M. Visinescu, Kaluza-Klein theory with scalar fields and generalised Hopf
manifolds, Classical Quantum Gravity 4, 1317-1352, 1987.
- [16] S. Ianus, and M. Visinescu, Space-time compactification and Riemannian submersions,
The mathematical heritage of C.F. Gauss, World Sci. Publ., River Edge, NJ,
358-371, 1991.
- [17] S. Ianus, R. Mazzocco and G. E. Vilcu, Riemannian submersions from quaternionic
manifolds, Acta Appl. Math. 104, 83-89, 2008.
- [18] S. Ianus, G.E. Vilcu and R.C. Voicu, Harmonic maps and Riemannian submersions
between manifolds endowed with special structures, Banach Center Publications 93,
277-288, 2011.
- [19] I.K. Erken and C. Murathan, On slant Riemannian submersions for cosymplectic
manifolds, Bull. Korean Math. Soc. 51 (6), 1749-1771, 2014.
- [20] B. O‘Neill, The fundamental equations of a submersion, Michigan Math. J. 13, 459-
469, 1966.
- [21] B. O‘Neill, Semi-Riemannian Geometry with Application to Relativity, Academic
Press, New York, 1983.
- [22] K.S.Park, H-slant submersions, Bull. Korean Math. Soc. 49, 329-338, 2012.
- [23] B. Sahin, Slant submersions from almost Hermitian manifolds, Bull. Math. Soc.Sci.
Math. Roumanie Tome. 54, 93-105, 2011.
- [24] B.Sahin, Anti-invariant Riemannian submersions from almost Hermitian manifolds,
Central European J.Math 8 (3), 437-447, 2010.
- [25] H.M. Taştan, B.Sahin and Ş. Yanan , Hemi-slant submersions, Mediterr. J. Math.
13, 2171-2184, 2016.
- [26] J. Welyczko, On Legendre curves in 3-dimensional normal almost paracontact metric
manifolds, Results Math. 54, 377-387, 2009.
- [27] B. Watson, Almost Hermitian submersions, J. Differential Geom. 11, 147-165, 1976.
- [28] S. Zamkovoy, Canonical connections on paracontact manifolds, Ann. Global Anal.
Geometry 36, 37-60, 2009.