Neutral slant submersions in paracomplex geometry
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Akyol, M.A.: Conformal semi-slant submersions. Int. J. Geom. Methods Mod. Phys. 14(7), 1750114 (2017)
Akyol, M.A.: Conformal anti-invariant submersions from cosymplectic manifolds. Hacettepe J. Math Stat. 46(2), 177–192 (2017)
Alegre, P., Carriazo, A.: Slant submanifolds of para-Hermitian manifolds. Mediterr. J. Math. (2017). https://doi.org/10.1007/s00009-017-1018-3
Baditoiu, G., Ianus, S.: Semi-Riemannian submersions from real and complex pseudo-hyperbolic spaces. Diff. Geom. Appl. 16, 79–84 (2002)
Bourguignon, J.P., Lawson, H.B.: A mathematician’s visit to Kaluza-Klein theory, Rend. Sem. Mat. Univ. Politec. Torino, Special Issue, pp. 143–163 (1989)
Bourguignon, J.P., Lawson, H.B.: Stability and isolation phenomena for Yang-Mills fields. Commun. Math. Phys. 79, 189–230 (1981)
Caldarella, A.V.: On para-quaternionic submersions between para-quaternionic Kähler manifolds. Acta Applicandae Mathematicae 112, 1–14 (2010)
Falcitelli, M., Ianus, S., Pastore, A.M.: Riemannian Submersions and Related Topics. World Scientific, Singapore (2004)
Gündüzalp, Y., Ṣahin, B.: Paracontact semi-Riemannian submersions. Turkish J. Math. 37(1), 114–128 (2013)
Gündüzalp, Y., Ṣahin, B.: Para-contact para-complex semi-Riemannian submersions. Bull. Malays. Math. Sci. Soc. 37(1), 139–152 (2014)
Gündüzalp, Y.: Almost para-Hermitian submersions. Matematicki Vesnik 68(4), 241–253 (2016)
Gündüzalp, Y.: Anti-invariant semi-Riemannian submersions from almost para-Hermitian manifolds. J. Funct. Spaces 2013, 720623. https://doi.org/10.1155/2013/720623
Gündüzalp, Y.: Slant submersions from almost product Riemannian manifolds. Turkish J. Math. 37, 863–873 (2013)
Gündüzalp, Y., Akyol, M.A.: Conformal slant submersions from cosymplectic manifolds. Turk. J. Math. 42(5), 2672–2689 (2018)
Gray, A.: Pseudo-Riemannian almost product manifolds and submersions. J. Math. Mech. 16, 715–737 (1967)
Ianus, S., Visinescu, M.: Kaluza-Klein theory with scalar fields and generalised Hopf manifolds. Class. Quantum Gravity 4, 1317–1325 (1987)
Ianus, S., Visinescu, M.: Space-time compactification and Riemannian submersions, The Mathematical Heritage of C.F. Gauss, pp. 358–371. World Science Publication, River Edge (1991)
Ianus, S., Mazzocco, R., Vilcu, G.E.: Riemannian submersions from quaternionic manifolds. Acta Appl. Math. 104, 83–89 (2008)
Ianus, S., Vilcu, G.E., Voicu, R.C.: Harmonic Maps and Riemannian Submersions between Manifolds Endowed with Special Structures, pp. 277–288. Banach Center Publications, Warszawa (2011)
Ivanov, S., Zamkovoy, S.: Para-Hermitian and para-quaternionic manifolds. Diff. Geom. Appl. 23, 205–234 (2005)
Erken, I.K., Murathan, C.: On slant Riemannian submersions for cosymplectic manifolds. Bull. Korean Math. Soc. 51(6), 1749–1771 (2014)
O’Neill, B.: The fundamental equations of a submersion. Michigan Math. J. 13, 459–469 (1966)
O’Neill, B.: Semi-Riemannian Geometry with Application to Relativity. Academic Press, New York (1983)
Ṣahin, B.: Slant submersions from almost Hermitian manifolds. Bull. Math. Soc. Sci. Math. Roumanie Tome. 54(102), 93–105 (2011)
Ṣahin, B.: Anti-invariant Riemannian submersions from almost Hermitian manifolds. Central Eur. J. Math 8(3), 437–447 (2010)