SavedAdd your journal

Journals / International Electronic Journal of Geometry / 2019 / Cilt: 12 - Sayı: 1

Anti-invariant ?-Riemannian Submersions From Almost Hyperbolic Contact Manifolds

Mehmet Akif AKYOL
Mohd. Danish SIDDIQI
Pages
32–42
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)

Moreover, we obtaindecomposition theorems for the total manifold of such submersions.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we introduce anti-invariant ?-Riemannian submersions from almost hyperboliccontact manifolds onto Riemannian manifolds.
📊
Key Findings & Data:Necessary and sufficient conditions for a specialanti-invariant ?-Riemannian submersion to be totally geodesic are studied.
💡
Conclusion & Impact:Moreover, we obtaindecomposition theorems for the total manifold of such submersions.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this paper, we introduce anti-invariant ?-Riemannian submersions from almost hyperboliccontact manifolds onto Riemannian manifolds. Necessary and sufficient conditions for a specialanti-invariant ?-Riemannian submersion to be totally geodesic are studied. Moreover, we obtaindecomposition theorems for the total manifold of such submersions.

🔖

Cite This Article

AKYOL, M. A., SIDDIQI, M. D. (2022). Anti-invariant ?-Riemannian Submersions From Almost Hyperbolic Contact Manifolds. International Electronic Journal of Geometry, Cilt: 12 - Sayı: 1, 32–42. https://ajindex.com/articles/539631

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (17)

  1. Akyol M. A., Conformal anti-invariant submersions from cosymplectic manifolds. Hacet. J. Math. Stat. 46(2) (2017), 177-192
  2. Cengizhan M. and Erken I.K., Anti-invariant Riemannian submersions from cosymplectic manifolds onto Riemannian submersions. Filomat 29(7) (2015), 1429-1444
  3. Chinea, C., Almost contact metric submersions. Rend. Circ. Mat. Palermo 43(1) (1985), 89-104
  4. Eells, J. and Sampson, J. H., Harmonic mappings of Riemannian manifolds. Amer. J. Math. 86 (1964), 109-160
  5. Falcitelli, M., Ianus, S. and Pastore, A. M., Riemannian submersions and Related topics, World Scientific, River Edge, NJ, 2004
  6. Gündüzalp, Y., Anti-invariant semi-Riemannian submersions from almost para Hermitian manifolds. Journal of Function Spaces and Applications 2013, Art. ID 720623, 7 pp
  7. Gray, A., Pseudo-Riemannian almost product manifolds and submersion. J. Math. Mech. 16 (1967), 715-737
  8. Ianus, S. and Pastore, A. M., Harmonic maps on contact metric manifolds. Ann. Math. Blaise Pascal 2(2) (1995), 43-53
  9. Lee, J. W., Anti-invariant ?􀀀 Riemannian submersions from almost contact manifolds. Hacettepe J. Math. Stat. 42(2)(2013), 231-241
  10. O’Neill, B., The fundamental equations of a submersions. Mich. Math. J. 13 (1996), 458-469
  11. Park, K.S., H-anti-invariant submersions from almost quaternionic Hermitian manifolds. Czechoslovak Math. J. 67(2) (2017), 557-578
  12. Siddiqi, M. D., Ahmed, M and Ojha, J.P., CR-submanifolds of nearly-trans hyperbolic sasakian manifolds admitting semi-symmetric non-metric connection. African J. Diaspora 17(10) (2014), 93-105
  13. Siddiqi, M. D. and Akyol, M. A., Anti-invariant ?-Riemannian Submersions from hyperbolic -Kenmotsu Manifolds. CUBO A Mathematical Journal 20(1) (2018), 79-94
  14. Sahin, B., Anti-invariant Riemannian submersions from almost hermition manifolds. Cent. Eur. J. Math. 8(3) (2010), 437-447. [15] ¸Sahin B., Riemannian submersions from almost Hermitian manifolds. Taiwanese J. Math. 17 (2012), 629-659. [16] ¸Sahin B., Riemannian Submersions, Riemannian Maps in Hermitian Geometry, and Their Applications. San Diego, CA, USA: Academic Press, 2017
  15. Ta¸stan, H. M. and Gerdan, S., Clairaut Anti-invariant Submersions from Sasakian and Kenmotsu Manifolds. Mediterranean J. Math. 14 (2017), no. 6, Art. 235, 17 pp
  16. Upadhyay, M. D. and Dube., K. K., Almost contact hyperbolic (f; g; ; ) structure. Acta. Math. Acad. Scient. Hung 28 (1976), 1-4
  17. Watson, B. Almost Hermitian submersion