Anti-invariant \({\xi^{\bot}}\)-Riemannian submersions from hyperbolic \(\beta\)-Kenmotsu manifolds
-
Mohd Danish Siddiqi
anallintegral@gmail.com
-
Mehmet Akif Akyol
mehmetakifakyol@bingol.edu.tr
Downloads
DOI:
https://doi.org/10.4067/S0719-06462018000100079Abstract
In this paper, we introduce anti-invariant \({\xi^{\bot}}\)-Riemannian submersions from Hyperbolic β-Kenmotsu Manifolds onto Riemannian manifolds. Necessary and sufficient conditions for a special anti-invariant \({\xi^{\bot}}\)-Riemannian submersion to be totally geodesic are studied. Moreover, we obtain decomposition theorems for the total manifold of such submersions.
Keywords
[1] Chinea, C. Almost contact metric submersions, Rend. Circ. Mat. Palermo, 43(1), 89-104, 1985.
[2] Eells, J., Sampson, J. H. Harmonic mappings of Riemannian manifolds, Amer. J. Math., 86, 109-160. 1964.
[3] Falcitelli, M., Ianus, S., Pastore, A. M. Riemannian submersions and Related topics, (World Scientific, River Edge, NJ, 2004.
[4] Gray, A. Pseudo-Riemannian almost product manifolds and submersion, J. Math. Mech., 16, 715-737, 1967.
[5] Ianus, S., Pastore, A. M., Harmonic maps on contact metric manifolds, Ann. Math. Blaise Pascal, 2(2), 43-53, 1995.
[6] Lee, J. W., Anti-invariant ξ⊥− Riemannian submersions from almost contact manifolds, Hacettepe J. Math. Stat. 42(2), 231-241, 2013.
[7] O‘Neill , B. The fundamental equations of a submersions, Mich. Math. J., 13, 458-469, 1996.
[8] Sahin, B. Anti-invariant Riemannian submersions from almost hermition manifolds, Cent. Eur. J. Math., 8(3), 437-447, 2010.
[9] Siddiqi, M. D., Ahmed, M and Ojha, J.P., CR-submanifolds of nearly-trans hyperbolic sasakian manifolds admitting semi-symmetric non-metric connection, Afr. Diaspora J. Math. (N.S.), Vol 17(1), 93-105, 2014.
[10] Upadhyay, M. D, Dube., K. K., Almost contact hyperbolic (f, g, η, ξ) structure, Acta. Math. Acad. Scient. Hung., Tomus, 28, 1-4, 1976.
[11] Watson, B. Almost Hermitian submersions, J. Differential Geometry, 11(1), 147-165, 1976.
[2] Eells, J., Sampson, J. H. Harmonic mappings of Riemannian manifolds, Amer. J. Math., 86, 109-160. 1964.
[3] Falcitelli, M., Ianus, S., Pastore, A. M. Riemannian submersions and Related topics, (World Scientific, River Edge, NJ, 2004.
[4] Gray, A. Pseudo-Riemannian almost product manifolds and submersion, J. Math. Mech., 16, 715-737, 1967.
[5] Ianus, S., Pastore, A. M., Harmonic maps on contact metric manifolds, Ann. Math. Blaise Pascal, 2(2), 43-53, 1995.
[6] Lee, J. W., Anti-invariant ξ⊥− Riemannian submersions from almost contact manifolds, Hacettepe J. Math. Stat. 42(2), 231-241, 2013.
[7] O‘Neill , B. The fundamental equations of a submersions, Mich. Math. J., 13, 458-469, 1996.
[8] Sahin, B. Anti-invariant Riemannian submersions from almost hermition manifolds, Cent. Eur. J. Math., 8(3), 437-447, 2010.
[9] Siddiqi, M. D., Ahmed, M and Ojha, J.P., CR-submanifolds of nearly-trans hyperbolic sasakian manifolds admitting semi-symmetric non-metric connection, Afr. Diaspora J. Math. (N.S.), Vol 17(1), 93-105, 2014.
[10] Upadhyay, M. D, Dube., K. K., Almost contact hyperbolic (f, g, η, ξ) structure, Acta. Math. Acad. Scient. Hung., Tomus, 28, 1-4, 1976.
[11] Watson, B. Almost Hermitian submersions, J. Differential Geometry, 11(1), 147-165, 1976.
Similar Articles
- Rajendra Prasad, Mehmet Akif Akyol, Sushil Kumar, Punit Kumar Singh, Quasi bi-slant submersions in contact geometry , CUBO, A Mathematical Journal: Vol. 24 No. 1 (2022)
- Fortune Massamba, Lightlike geometry of leaves in indefinite Kenmotsu manifolds , CUBO, A Mathematical Journal: Vol. 13 No. 3 (2011): CUBO, A Mathematical Journal
- Patrick Eberlein, Left invariant geometry of Lie groups , CUBO, A Mathematical Journal: Vol. 6 No. 1 (2004): CUBO, A Mathematical Journal
- C. S. Bagewadi, M. S. Siddesha, Submanifolds of a (k,μ)-contact manifold , CUBO, A Mathematical Journal: Vol. 18 No. 1 (2016): CUBO, A Mathematical Journal
- Sampa Pahan, \( \eta \)-Ricci Solitons on 3-dimensional Trans-Sasakian Manifolds , CUBO, A Mathematical Journal: Vol. 22 No. 1 (2020)
- Chandresh Prasad, P. K. Parida, Steffensen-like method in Riemannian manifolds , CUBO, A Mathematical Journal: Vol. 26 No. 3 (2024)
- A. El-Sayed Ahmed, M. A. Bakhit, Composition operators in hyperbolic general Besov-type spaces , CUBO, A Mathematical Journal: Vol. 15 No. 3 (2013): CUBO, A Mathematical Journal
- Shwet Nisha, P. K. Parida, Super-Halley method under majorant conditions in Banach spaces , CUBO, A Mathematical Journal: Vol. 22 No. 1 (2020)
- Denis L. Blackmore, Yarema A. Prykarpatsky, Anatoliy M. Samoilenko, Anatoliy K. Prykarpatsky, The ergodic measures related with nonautonomous hamiltonian systems and their homology structure. Part 1 , CUBO, A Mathematical Journal: Vol. 7 No. 3 (2005): CUBO, A Mathematical Journal
- Mohd Danish Siddiqi, Aliya Naaz Siddiqui, Ali H. Hakami, M. Hasan, Estimation of sharp geometric inequality in \(D_{\alpha}\)-homothetically deformed Kenmotsu manifolds , CUBO, A Mathematical Journal: Vol. 25 No. 3 (2023)
1 2 3 4 5 6 7 8 9 10 11 12 > >>
You may also start an advanced similarity search for this article.
Downloads
Download data is not yet available.
Published
2018-10-19
How to Cite
[1]
M. Danish Siddiqi and M. Akif Akyol, “Anti-invariant \({\xi^{\bot}}\)-Riemannian submersions from hyperbolic \(\beta\)-Kenmotsu manifolds”, CUBO, vol. 20, no. 1, pp. 79–94, Oct. 2018.
Issue
Section
Articles
License
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
