SavedAdd your journal

Journals / Hacettepe Journal of Mathematics and Statistics / 2020 / Cilt: 49 - Sayı: 2

Slant submersions in paracontact geometry

Yılmaz Gündüzalp
Pages
822–834
Publication Date
2022-10-18
DOI
—
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

In this paper, we investigate some geometric properties of three types of slant submersions whose total space is an almost paracontact metric manifold.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we investigate some geometric properties of three types of slant submersions whose total space is an almost paracontact metric manifold.
📊
Key Findings & Data:In this paper, we investigate some geometric properties of three types of slant submersions whose total space is an almost paracontact metric manifold.
💡
Conclusion & Impact:In this paper, we investigate some geometric properties of three types of slant submersions whose total space is an almost paracontact metric manifold.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:almost paracontact metric manifold · semi-Riemannian submersion · proper slant submersion

Abstract

In this paper, we investigate some geometric properties of three types of slant submersions whose total space is an almost paracontact metric manifold.

🔖

Cite This Article

Gündüzalp, Y. (2022). Slant submersions in paracontact geometry. Hacettepe Journal of Mathematics and Statistics, Cilt: 49 - Sayı: 2, 822–834. https://ajindex.com/articles/529677

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (19)

  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. S