Article
Full entry |
PDF
(0.2 MB)
Feedback
PDF
(0.2 MB)
Feedback
Keywords:
conformal submersion; slant submersion; quasi-hemi-slant submersion; Sasakian manifold
conformal submersion; slant submersion; quasi-hemi-slant submersion; Sasakian manifold
Summary:
We introduce some geometric properties of a horizontally conformal quasi-hemi-slant Riemannian submersion from a Sasakian manifold, normal to the characteristic vector field, supported by an example. Under some conditions, we obtain geometric configurations of fibres and the base manifold of such submersions. We also give a characterization theorem for the proper horizontal conformal quasi-hemi-slant Riemannian submersions with totally umbilical fibres.
References:
[1] Akyol, M. A.: Conformal semi-slant submersions. Int. J. Geom. Methods Mod. Phys. 14 (2017), Article ID 1750114, 25 pages. DOI 10.1142/S0219887817501146 | MR 3652645 | Zbl 1375.53048
[2] Akyol, M. A., Sarı, R.: On semi-slant $\xi^{\perp}$-Riemannian submersions. Mediterr. J. Math. 14 (2017), Article ID 234, 20 pages. DOI 10.1007/s00009-017-1035-2 | MR 3722044 | Zbl 1381.53050
[3] Akyol, M. A., Sarı, R., Aksoy, E.: Semi-invariant $\xi^{\perp}$-Riemannian submersions from almost contact metric manifolds. Int. J. Geom. Methods Mod. Phys. 14 (2017), Article ID 1750074, 17 pages. DOI 10.1142/S0219887817500748 | MR 3635093 | Zbl 1364.53028
[4] Blair, D. E.: Riemannian Geometry of Contact and Symplectic Manifolds. Progress in Mathematics 203. Birkhäuser, Boston (2002). DOI 10.1007/978-1-4757-3604-5 | MR 1874240 | Zbl 1011.53001
[5] Cabrerizo, J. L., Carriazo, A., Fernández, L. M., Fernández, M.: Slant submanifolds in Sasakian manifolds. Glasg. Math. J. 42 (2000), 125-138. DOI 10.1017/S0017089500010156 | MR 1739684 | Zbl 0957.53022
[6] Falcitelli, M., Ianus, S., Pastore, A. M.: Riemannian Submersions and Related Topics. World Scientific, River Edge (2004). DOI 10.1142/9789812562333 | MR 2110043 | Zbl 1067.53016
[7] Fischer, A. E.: Riemannian maps between Riemannian manifolds. Mathematical Aspects of Classical Field Theory Contemporary Mathematics 132. AMS, Providence (1992), 331-366. DOI 10.1090/conm/132 | MR 1188447 | Zbl 0780.53033
[8] Gray, A.: Pseudo-Riemannian almost product manifolds and submersions. J. Math. Mech. 16 (1967), 715-737. MR 0205184 | Zbl 0147.21201
[9] Gudmundsson, S.: The Geometry of Harmonic Morphisms: Ph.D. Thesis. University of Leeds, Leeds (1992).
[10] Longwap, S., Massamba, F., Homti, N. E.: On quasi-hemi-slant Riemannian submersion. J. Adv. Math. Comput. Sci. 34 (2019), Article ID 51918, 14 pages. DOI 10.9734/jamcs/2019/v34i1-230200
[11] Mustafa, M. T.: Totally geodesic horizontally conformal maps. Rend. Ist. Mat. Univ. Trieste 30 (1998), 45-55. MR 1704839 | Zbl 0965.53028
[12] O'Neill, B.: The fundamental equations of a submersion. Mich. Math. J. 13 (1966), 459-469. DOI 10.1307/mmj/1028999604 | MR 0200865 | Zbl 0145.18602
[13] Park, K.-S., Prasad, R.: Semi-slant submersions. Bull. Korean Math. Soc. 50 (2013), 951-962. DOI 10.4134/BKMS.2013.50.3.951 | MR 3066240 | Zbl 1273.53023
[14] Sahin, B.: Contact horizontally conformal submersions. Demonstr. Math. 42 (2009), 857-868. DOI 10.1515/dema-2009-0418 | MR 2588985 | Zbl 1183.53027
[15] Sahin, B.: Anti-invariant Riemannian submersions from almost Hermitian manifolds. Cent. Eur. J. Math. 8 (2010), 437-447. DOI 10.2478/s11533-010-0023-6 | MR 2653653 | Zbl 1207.53036
[16] Sahin, B.: Slant submersions from almost Hermitian manifolds. Bull. Math. Soc. Sci. Math. Roum., Nouv. Sér. 54 (2011), 93-105. MR 2799245 | Zbl 1224.53054
[17] Sahin, B.: Riemannian submersions from almost Hermitian manifolds. Taiwanese J. Math. 17 (2013), 629-659. DOI 10.11650/tjm.17.2013.2191 | MR 3044527 | Zbl 1286.53041
[18] Sahin, B.: Semi-invariant submersions from almost Hermitian manifolds. Can. Math. Bull. 56 (2013), 173-182. DOI 10.4153/CMB-2011-144-8 | MR 3009415 | Zbl 1259.53014
[19] Sari, R., Akyol, M. A.: Hemi-slant $\xi^{\perp}$-Riemannian submersions in contact geometry. Filomat 34 (2020), 3747-3758. DOI 10.2298/FIL2011747S | MR 4208301 | Zbl 1499.53166
[20] Taştan, H. M., Sahin, B., Yanan, S.: Hemi-slant submersions. Mediterr. J. Math. 13 (2016), 2171-2184. DOI 10.1007/s00009-015-0602-7 | MR 3530924 | Zbl 1346.53035
[21] Watson, B.: Almost Hermitian submersions. J. Differ. Geom. 11 (1976), 147-165 \99999DOI99999 10.4310/jdg/1214433303 . DOI 10.4310/jdg/1214433303 | MR 0407784 | Zbl 0355.53037
Search
Partner of
