Abstract
In this paper, we investigate some geometric properties of Clairaut submersions whose total space is a locally product Riemannian manifold.
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Akyol, M.A.: Conformal anti-invariant submersions from cosymplectic manifolds. Hacet. J. Math. Stat. 46(2), 177–192 (2017)
Akyol, M.A., Gündüzalp, Y.: Hemi-slant submersions from almost product Riemannian manifolds. Gulf J. Math. 4(3), 15–27 (2016)
Akyol, M.A., Ṣahin, B.: Conformal anti-invariant submersions from almost Hermitian manifolds. Turk. J. Math. 40, 43–70 (2016)
Allison, D.: Lorentzian Clairaut submersions. Geom. Dedicate 63(3), 309–319 (1996)
Beri, A., Kụpeli Erken, I., Murathan, C.: Anti-invariant Riemannian submersions from Kenmotsu manifolds onto Riemannian manifolds. Turk. J. Math. 40(3), 540–552 (2016)
Bishop, R.L.: Clairaut Submersions, Differential Geometry (in Honor of Kentaro Yano), pp. 21–31. Kinokuniya, Tokyo (1972)
Falcitelli, M., Ianus, S., Pastore, A.M.: Riemannian Submersions and Related Topics. World Scientific, Singapore (2004)
Gray, A.: Pseudo-Riemannian almost product manifolds and submersions. J. Math. Mech. 16, 715–737 (1967)
Gündüzalp, Y.: Anti-invariant Riemannian submersions from almost product Riemannian manifolds. Math. Sci. Appl. E-Notes 1(1), 58–66 (2013)
Gündüzalp, Y.: Slant submersions from almost product Riemannian manifolds. Turk. J. Math. 37, 863–873 (2013)
Gündüzalp, Y.: Anti-invariant pseudo-Riemannian submersions and Clairaut submersions from paracosymplectic manifolds. Mediterr. J. Math. 16, 94 (2019). https://doi.org/10.1007/s00009-019-1359-1
Gündüzalp, Y., Akyol, M.A.: Conformal slant submersions from cosymplectic manifolds. Turk. J. Math. 42, 2672–2689 (2018)
Gündüzalp, Y., Ṣahin, B.: Para-contact para-complex semi-Riemannian submersions. Bull. Malays. Math. Sci. Soc. 37(1), 139–152 (2014)
Ianus, S., Mazzocco, R., Vilcu, G.E.: Riemannian submersions from quaternionic manifolds. Acta Appl. Math. 104, 83–89 (2008)
Lee, J., Park, J.H., Ṣahin, B., Song, D.Y.: Einstein conditions for the base of anti-invariant Riemannian submersions and Clairaut submersions. Taiwan. J. Math. 19(4), 1145–1160 (2015)
O’Neill, B.: The fundamental equations of a submersion. Mich. Math. J. 13, 459–469 (1966)
Ṣahin, B.: Anti-invariant Riemannian submersions from almost Hermitian manifolds. Cent. Eur. J. Math 8(3), 437–447 (2010)
Ṣahin, B.: Slant submersions from almost Hermitian manifolds. Bull. Math. Soc. Sci. Math. Roumanie Tome. 54(102), 93–105 (2011)
Taṣtan, H.M., Gerdan, S.: Clairaut anti-invariant submersions from Sasakian and Kenmotsu manifolds. Mediterr. J. Math. 14(6), 235 (2017)
Watson, B.: Almost Hermitian submersions. J. Differ. Geom. 11(1), 147–165 (1976)
Yano, K., Kon, M.: Structures on Manifolds. World Scientific, Singapure (1984)
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Gündüzalp, Y. Clairaut anti-invariant submersions from locally product Riemannian manifolds. Beitr Algebra Geom 61, 605–614 (2020). https://doi.org/10.1007/s13366-020-00488-6
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DOI: https://doi.org/10.1007/s13366-020-00488-6