Korean Journal of Mathematics

  • 제28권3호
  • /
  • Pages.555-571
  • /
  • 2020
  • /
  • 1976-8605(pISSN)
  • /
  • 2288-1433(eISSN)
강원경기수학회 (The Kangwon-Kyungki Mathematical Society)
권호 표지
DOI QR코드

DOI QR Code

CHARACTERIZATIONS FOR TOTALLY GEODESIC SUBMANIFOLDS OF (𝜅, 𝜇)-PARACONTACT METRIC MANIFOLDS

  • Atceken, Mehmet (Department of Mathematics, University of Gaziosmanpasa) ;
  • Uygun, Pakize (Department of Mathematics, University of Gaziosmanpasa)
  • 투고 : 2020.07.07
  • 심사 : 2020.09.08
  • 발행 : 2020.09.30
PDF 다운로드
⟨ 이전 논문 다음 논문 ⟩

초록

The aim of the present paper is to study pseudoparallel invariant submanifold of a (𝜅, 𝜇)-paracontact metric manifold. We consider pseudoparallel, Ricci-generalized pseudoparallel and 2-Ricci generalized pseudo parallel invariant submanifolds of a (𝜅, 𝜇)-paracontact metric manifold and we obtain new results contribute to geometry.

키워드

참고문헌

  1. S. K. Hui., V. N. Mishra, T., Pal and Vandana, Some Classes of Invariant Submanifolds of $(LCS)_n$-Manifolds, Italian J. of Pure and Appl. Math. No:39, (2018), 359-372.
  2. V. Venkatesha and S. Basavarajappa, Invariant Submanifolds of LP-Sasakian Manifolds, Khayyam J. Math. 6 (1) (2020), 16-26.
  3. S. Sular., C. Ozgur and C. Murathan, Pseudoparallel Anti-Invaraint Submanifolds of Kenmotsu Manifolds, Hacettepe J. of Math. and Stat. 39 (4) (2010), 535-543.
  4. B. C. Montano., L. D. Terlizzi and M.M Tripathi, Invariant Submanifolds of Contact (${\kappa},{\mu}$)-Manifolds, Glasgow Math. J. 50 (2008), 499-507. https://doi.org/10.1017/S0017089508004369
  5. M. S., Siddesha and C. S Bagewadi, Invariant Submanifolds of (${\kappa},{\mu}$)-Contact Manifolds Admitting Guarter Symmetric Metric Connection, International J. of Math. Trends and Tech(IJMTT) 34 (2) (2016).
  6. S. Koneyuki and F. L. Williams, Almost paracontact and parahodge Structures on Manifolds, Nagoya Math. J. 90 (1985), 173-187.
  7. S. Zamkovay, Canonical Connections on Paracontact Manifolds, Ann. Globanal Geom. 36 (2009), 37-60. https://doi.org/10.1007/s10455-008-9147-3
  8. B. C. Montano., I. K. Erken and C. Murathan, Nullity Conditions in Paracontact Geometry, Differential Geom Appl. 30 (2010), 79-100.
  9. D. G. Prakasha and K. Mirji, On (${\kappa},{\mu}$)-Paracontact Metric Manifolds, Gen. Math. Notes. 25 (2) (2014), 68-77.
  10. S. Zamkovay, Canonical Connections on Paracontact Manifolds, Ann. Glob. Anal. Geom. 36 (2009), 68-77.
  11. M. Atceken., U. Yildirim and S. Dirik, Semiparallel Submanifolds of a Normal Paracontact Metric Manifold, Hacet. J. Math. Stat. 48 (2) (2019),501-509.
  12. D. E. Blair., T. Koufogiorgos., B. J. Papatoniou, Contact Metric Manifolds Satisfying a Nullity Conditions, Israel J. Math. 91 (1995), 189-214. https://doi.org/10.1007/BF02761646