KaydedilenlerDerginizi ekleyin

Dergiler / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2020 / Cilt: 69 - Sayı: 2

Pointwise bi-slant submersions from cosymplectic manifolds

Sezin AYKURT SEPET
Mahmut ERGÜT
Sayfa
1310–1319
Yayın Tarihi
2020-12-31
DOI
—
🏛️Bu makalenin bibliyografik verileri ve tam metin bağlantısı DergiPark üzerinden sağlanmıştır.
DergiPark Kaydı ↗
✨

Yapay Zeka Hızlı Bakış & Çıkarımlar

AI Insight
⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Also we obtain necessary and sufficient conditions for such submersions to be totally geodesic maps.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:We introduce pointwise bi-slant submersions from cosymplectic manifolds onto Riemannian manifolds as a generalization of anti-invariant, semi-invariant, semi-slant, hemi-slant, pointwise semi-slant, pointwise hemi-slant and pointwise slant Riemannian submersions.
📊
Temel Bulgular & Veri:We give an example for pointwise bi-slant submersions and investigate integrability and totally geodesicness of the distributions which are mentioned in the definition of pointwise bi-slant submersions admitting vertical Reeb vector field.
💡
Sonuç & Katkı:Also we obtain necessary and sufficient conditions for such submersions to be totally geodesic maps.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Riemannian submersion · pointwise bi-slant submersion · cosymplectic manifold

Abstract

We introduce pointwise bi-slant submersions from cosymplectic manifolds onto Riemannian manifolds as a generalization of anti-invariant, semi-invariant, semi-slant, hemi-slant, pointwise semi-slant, pointwise hemi-slant and pointwise slant Riemannian submersions. We give an example for pointwise bi-slant submersions and investigate integrability and totally geodesicness of the distributions which are mentioned in the definition of pointwise bi-slant submersions admitting vertical Reeb vector field. Also we obtain necessary and sufficient conditions for such submersions to be totally geodesic maps.

🔖

Bu Makaleye Atıf Yap

SEPET, S. A., ERGÜT, M. (2020). Pointwise bi-slant submersions from cosymplectic manifolds. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Cilt: 69 - Sayı: 2, 1310–1319. https://ajindex.com/articles/746796

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (20)

  1. Akyol, M.A.,Gündüzalp, Y., Hemi-slant submersions from almost product Riemannian manifolds, Gulf Journal of Mathematics, 4(3) (2016), 15-27.
  2. Akyol, M.A., Sarı, R., On semi-slant ξ^{⊥}-Riemannian submersions, Mediterr. J. Math., 14 (2017), 234(20 pp). Akyol, M.A.Sahin, B., Conformal slant submersions, Hacet. J. Math. Stat., 48 (2019), 28-44.
  3. Alqahtani, L.S., Stankovic, M.S., Uddin, S., Warped Product Bi-slant Submanifolds of Cosymplectic Manifolds, Filomat, 31(16) (2017), 5065-5071.
  4. Aykurt Sepet, S., Ergüt,M., Pointwise slant submersions from cosymplectic manifolds, Turk. J. Math., 40 (2016), 582-593.
  5. Baird, P., Wood, J.C., Harmonic morphisms between Riemannian manifolds, London Mathematical Society Monographs, Oxford University Press, Oxford, 2003.
  6. Blair, D.E., Contact manifolds in Riemannian geometry, Lectures Notes in Mathematics 509, Springer-Verlag, Berlin, 146p., 1976.
  7. Carriazo, A., Bi-slant Immersions, Proceeding of the ICRAMS, (2000), 88-97.
  8. Chen, B.Y., Slant immersions, Bull. Austral. Math. Soc., 41(1990), 135-147.
  9. Erken, İ.K., Murathan, C., On Slant Riemannian Submersions for Cosymplectic Manifolds, Bull. Korean Math. Soc., (2014), 51, 1749-1771.
  10. Etayo, F., On quasi-slant submanifolds of an almost Hermitian manifold, Publ. Math. Debrecen, 51 (1998), 217-223.
  11. Falcitelli, M., Ianus, S., Pastore, A.M., Riemannian Submersions and Related Topics, World Scientific, River Edge, NJ, 2004.
  12. Gray, A., Pseudo-Riemannian almost product manifolds and submersions, J. Math. Mech., 16 (1967), 715-737.
  13. Gündüzalp, Y., Semi-slant submersions from almost product Riemannian manifolds, Demonstratio Mathematica, 49(3) (2016), 345-356.
  14. Gündüzalp, Y., Akyol, M.A., Conformal slant submersions from cosymplectic manifolds, Turk. J. Math., 42 (2018), 2672-2689.
  15. Lee, J.W., Şahin, B., Pointwise slant submersions, Bull. Korean Math. Soc., 51(4) (2014), 1115-1126.
  16. Ludden, G.D., Submanifolds of cosymplectic manifolds, J. Differential Geom., 4 (1970), 237-244.
  17. O'Neill, B., The fundamental equations of a submersion, Mich. Math. J., 13 (1966), 458-469.
  18. Sayar, C., Özdemir, F., Taştan, H.M., Pointwise semi-slant submersions whose total manifolds are locally product Riemannian manifolds, International Journal of Maps in Mathematics, 1 (2018), 91-115.
  19. Sayar, C., Taştan, H.M., Özdemir, F., Tripathi, M.M., Generic submersions from Kaehlerian Manifolds, Bull. Malays. Math. Sci. Soc., https://doi.org/10.1007/s40840-018-00716-2.
  20. Şahin, B., Anti-invariant Riemannian submersions from almost Herm