SavedAdd your journal

Journals / Communications in Advanced Mathematical Sciences / 2020 / Cilt: 3 - Sayı: 1

Semi-Invariant Submanifolds of Almost $\alpha$-Cosymplectic $f$-Manifolds

Selahattin BEYENDİ
Nesip AKTAN
Ali İhsan SİVRİDAĞ
Pages
57–66
Publication Date
2020-03-25
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)

We give an example and investigate the integrability conditions for the distributions involved in the definition of a semi-invariant submanifold of an almost $\alpha$-cosymplectic $f$-manifold.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we have and study several properties of semi-invariant submanifolds of an almost $\alpha$-cosymplectic $f$-manifold.
📊
Key Findings & Data:In this paper, we have and study several properties of semi-invariant submanifolds of an almost $\alpha$-cosymplectic $f$-manifold.
💡
Conclusion & Impact:We give an example and investigate the integrability conditions for the distributions involved in the definition of a semi-invariant submanifold of an almost $\alpha$-cosymplectic $f$-manifold.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Almost\ $\alpha$-cosypmlectic $f$-manifolds · Semi-invariant submanifolds · Integrability conditions

Abstract

In this paper, we have and study several properties of semi-invariant submanifolds of an almost $\alpha$-cosymplectic $f$-manifold. We give an example and investigate the integrability conditions for the distributions involved in the definition of a semi-invariant submanifold of an almost $\alpha$-cosymplectic $f$-manifold.

🔖

Cite This Article

BEYENDİ, S., AKTAN, N., SİVRİDAĞ, A. İ. (2020). Semi-Invariant Submanifolds of Almost $\alpha$-Cosymplectic $f$-Manifolds. Communications in Advanced Mathematical Sciences, Cilt: 3 - Sayı: 1, 57–66. https://ajindex.com/articles/748273

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (21)

  1. S. Lie, Geometrie der Beruhrungstransformationen. B.G. Teubner, Leipzig, (1896)
  2. H. Geiges, An Introduction to Contact Topology. Cambridge University Press, New York (2008)
  3. H. Geiges, A brief history of contact geometry and topology. Expo. Math. 19(1), 25-53 (2001)
  4. H. Geiges, Christiaan Huygens and contact geometry. Nieuw Arch. Wiskd (5). 6(2), 117-123. (2005)
  5. A. Bejancu, CR-submanifolds of a Kaehler manifold-I, Proc. Amer. Math. Soc., 69(1978), 135-42
  6. M. H. Shahid, A. Sharfuddin and S.I. Husain, CR-submanifolds of a Sasakian manifold, Review Research Fac. Sc., Yogoslavia, 15(1985), 203-178
  7. M. Kobayashi, CR-submanifolds of a Sasakian manifold, Tensor N. S., 35(1981), 297-307
  8. K. Matsumoto, On contact CR-submanifolds of Sasakian manifolds, Inter J. Math. § Math. Sci, 16(1983), 313-326
  9. G. D. Ludden, Submanifolds of cosymplectic manifold, J. Diff. Geometry, 4(1970), 237-244
  10. A. Cabras, A. Ianus and Gh. Pitis, Extrinsic spheres and parallel submanifolds in cosymplectic manifolds Math, J. Toyama Univ. 17(1994), 31-53
  11. A. Bejancu and N. Papaghiuc, Semi-invariant submanifolds a Sasakian manifold, An. Sti. Univ. ’Al. I. Cuza’ Iasi Sect. Ia Mat. 27(1981), 163-170
  12. A. Bejancu and N. Papaghiuc, Semi-invariant submanifolds a Sasakian space form, Colloq. Math. 48(1984), 77-88
  13. N. Papaghiuc, Almost semi-invariant submanifolds in Sasakian Space forms, An. s¸t. Univ. Ias¸ı. 29(1983), 5-10
  14. N. Papaghiuc, Some theorems on semi-invariant submanifolds of a Sasakian manifold, An. Sti. Univ. ’Al. I. Cuza’ Ias¸ı Sect. I a Mat. 32(1986), 73-76
  15. C.L. Bejan,Almost semi-invariant submanifolds of a cosymplectic manifold, An. S¸ ti. Univ. ’Al. I. Cuza’ Iası Sect. I a Mat. 31(1985), 149-156
  16. A. Cabras and P. Matzeu, Almost semi-invariant submanifolds of a cosymplectic manifold, Demonstratio Math. 19(1986), no.2, 395-401
  17. B. B. Sinha and R.N. Yadav, Semi-invariant submanifolds of a Kenmotsu manifold, Bull. cal. Math. Soc. 86, 405-412, (1994)
  18. H. Öztürk, C. Murathan, N. Aktan, A.T. Vanli, Almost a-cosymplectic f -manifolds, Analele stııntıfıce ale unıversıtatıı ”AI.I Cuza” Dı ıas¸ı (S.N.) Matematica, Tomul LX, f.1. (2014)
  19. K. Yano, M. Kon, Structures on Manifolds, World Scientific, Singapore. (1984)
  20. K. I. Erken, P. Dacko and C. Murathan, Almost a-Paracosymplectic Manifolds, arXiv: 1402.6930v1
  21. D.E. Blair, Geometry of Manifolds with structural group U(n)O(s), J.Differential Geometry, 4(