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http://dx.doi.org/10.5831/HMJ.2021.43.1.35

CERTAIN RESULTS ON INVARIANT SUBMANIFOLDS OF PARA-KENMOTSU MANIFOLDS  

Atceken, Mehmet (Department of Mathematics, Faculty of Sciences and Arts, Aksaray University)
Publication Information
Honam Mathematical Journal / v.43, no.1, 2021 , pp. 35-46 More about this Journal
Abstract
The purpose of this paper is to study invariant pseudoparallel, Ricci generalized pseudoparallel and 2-Ricci generalized pseudoparallel submanifold of a para-Kenmotsu manifold and I obtained some equivalent conditions of invariant submanifolds of para-Kenmotsu manifolds under some conditions which the submanifolds are totally geodesic. Finally, a non-trivial example of invariant submanifold of paracontact metric manifold is constructed in order to illustrate our results.
Keywords
Para Kenmotsu Manifold; Invariant Submanifold; Pseudoparallel Submanifold; Ricci-Generalized Pseudoparallel and 2-Pseudoparallel Submanifolds;
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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, 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 (κ, µ)-Manifolds, Glasgow Math. J, 50 (2008), 499-507.   DOI
5 M. S., Siddesha and C. S Bagewadi, Invariant Submanifolds of (κ, µ)-Contact Manifolds Admitting Guarter Symmetric Metric Connection, International J. of Math. Trends and Tech(IJMTT), 34(2) (2016), 48-53.   DOI
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.   DOI
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 (κ, µ)-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 Manifol, Hacet. J. Math. Stat, 48(2) (2019), 501-509.
12 D. E. Blair., T. Koufogiorgos. and B. J. Papatoniou, Contact Metric Manifolds Satisfying a Nullity Conditions, Israel J. Math, 91 (1995), 189-214.   DOI
13 Venkatesha and D. M. Naik, Cetain Results on K-Paracontact and ParaSasakian Manifolds, J. Geom, 108 (2017), 939-952.   DOI
14 S. Zamkovay, On Para-Kenmotsu Manifolds, Filomat, 32(14) (2018), 4971-4980.   DOI
15 A. Haseeb and R. Prasad, Some results on Lorentzian para-Kenmotsu manifolds, Bull. Transilvanya Univ. of Brasov, 13(62), (2020), 185-198.
16 A. Haseeb, Some new results on para-Sasakian manifold with a quarter symmetric metric connection, Facta Universitatis(NIS), Ser. Math. Inform, 30(5) (2015), 765-776.