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Dergiler / 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
Sayfa
57–66
Yayın Tarihi
2020-03-25
DOI
—
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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 Maddede Bu Makale

🎯
Amaç & Hipotez:In this paper, we have and study several properties of semi-invariant submanifolds of an almost $\alpha$-cosymplectic $f$-manifold.
📊
Temel Bulgular & Veri:In this paper, we have and study several properties of semi-invariant submanifolds of an almost $\alpha$-cosymplectic $f$-manifold.
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Sonuç & Katkı: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.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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.

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Bu Makaleye Atıf Yap

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/903622

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Kaynakça (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(