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Characterizations for totally geodesic submanifolds of $(\kappa,\mu)$-paracontact metric manifolds

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

Abstract

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

참고문헌 (12)

  1. S. K. Hui, "Some Classes of Invariant Submanifolds of (LCS)n-Manifolds", Italian J. of Pure and Appl. Math, (39), pp.359~372 (2018)
  2. V. Venkatesha, "Invariant Submanifolds of LP-Sasakian Manifolds", Khayyam J. Math, 6(1), pp.16~26 (2020)
  3. S. Sular., "Pseudoparallel Anti-Invaraint Subman-ifolds of Kenmotsu Manifolds", Hacettepe J. of Math. and Stat, 39(4), pp.535~543 (2010)
  4. B. C. Montano., "Invariant Submanifolds of Contact (κ, μ)-Manifolds", Glasgow Math. J., 50, pp.499~507 (2008)
  5. M. S., Siddesha, "Invariant Submanifolds of (κ, μ)-Contact Manifolds Admitting Guarter Symmetric Metric Connection", International J. of Math. Trends and Tech(IJMTT), 34(2) (2016)
  6. S. Koneyuki, "Almost paracontact and parahodge Structures on Manifolds", Nagoya Math. J, 90, pp.173~187 (1985)
  7. S. Zamkovay, "Canonical Connections on Paracontact Manifolds", Ann. Globanal Geom, 36, pp.37~60 (2009)
  8. B. C. Montano, "Nullity Conditions in Paracontact Geometry", Differential Geom Appl, 30, pp.79~100 (2010)
  9. D. G. Prakasha, "On (κ, μ)-Paracontact Metric Manifolds", Gen. Math. Notes, 25(2), pp.68~77 (2014)
  10. S. Zamkovay, "Canonical Connections on Paracontact Manifolds", Ann. Glob. Anal. Geom, 36, pp.68~77 (2009)
  11. M. Atceken, "Semiparallel Submanifolds of a Normal Paracontact Metric Manifold", Hacet. J. Math. Stat, 48(2), pp.501~509 (2019)
  12. D. E. Blair., "Contact Metric Manifolds Satisfying a Nullity Conditions", Israel J. Math, 91, pp.189~214 (1995)

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