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Some results on invarinat submanifolds of Lorentzian para-Kenmotsu manifolds
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The purpose of this paper is to study invariant submanifolds of a Lorentzian para Kenmotsu manifold. We obtain the necessary and sufficient conditions for an invariant submanifold of a Lorentzian para Kenmotsu manifold to be totally geodesic. Finally, a non-trivial example is built in order to verify our main results.
Abstract
The purpose of this paper is to study invariant submanifolds of a Lorentzian para Kenmotsu manifold. We obtain the necessary and sufficient conditions for an invariant submanifold of a Lorentzian para Kenmotsu manifold to be totally geodesic. Finally, a non-trivial example is built in order to verify our main results.
참고문헌 (13)
- S. K. Hui., "Some Classes of Invariant Submanifolds of (LCS)n-Manifolds", Italian J. of Pure and Appl. Math, 39, pp.359~372 (2018)
- V. Venkatesha, "Invariant Submanifolds of LP-Sasakian Manifolds", Khayyam J. Math, 6(1), pp.16~26 (2020)
- S. Sular., "Pseudoparallel Anti-Invaraint Submanifolds of Kenmotsu Manifolds", Hacettepe J. of Math. and Stat, 39(4), pp.535~543 (2010)
- B. C. Montano., "Invariant Submanifolds of Contact (κ, µ)-Manifolds", Glasgow Math. J, 50, pp.499~507 (2008)
- M. S., "Invariant Submanifolds of (κ, µ)-Contact Manifolds Admitting Guarter Symmetric Metric Connection", International J. of Math. Trends and Tech(IJMTT), 34(2), pp.48~53 (2016)
- S. Koneyuki, "Almost paracontact and parahodge Structures on Manifolds", Nagoya Math. J, 90, pp.173~187 (1985)
- S. Zamkovay, "Canonical Connections on Paracontact Manifolds", Ann. Globanal Geom, 36, pp.37~60 (2009)
- B. C. Montano, "Nullity Conditions in Paracontact Geometry", Differential Geom. Appl, 30, pp.79~100 (2010)
- D. G. Prakasha, "On (κ, µ)-Paracontact Metric Manifolds", Gen. Math. Notes, 25(2), pp.68~77 (2014)
- S. Zamkovay, "Canonical Connections on Paracontact Manifolds", Ann. Glob. Anal. Geom, 36, pp.68~77 (2009)
- M. At¸ceken., "Semiparallel Submanifolds of a Normal Paracontact Metric Manifol", Hacet. J. Math. Stat, 48(2), pp.501~509 (2019)
- D. E. Blair, "Contact Metric Manifolds Satisfying a Nullity Conditions", Israel J. Math, 91, pp.189~214 (1995)
- Venkatesha, "Cetain Results on K-Paracontact and Para Sasakian Manifolds", J. Geom, 108, pp.939~052 (2017)
관련 논문AI추천
Characterizations for totally geodesic submanifolds of $(\kappa,\mu)$-paracontact metric manifoldsMehmet Atceken, Pakize Uygun강원경기수학회 · 한국수학논문집2020 · 제28권 제3호LOCALLY SYMMETRIC HALF LIGHTLIKE SUBMANIFOLDS IN AN INDEFINITE KENMOTSU MANIFOLD진대호대한수학회 · 대한수학회논문집2012 · 제27권 제3호Pseudoparallel invariant submanifolds of $(LCS)_n$-manifoldsMEHMET ATCEKEN, Suleyman Dirik, UMIT YILDIRIM강원경기수학회 · 한국수학논문집2020 · 제28권 제2호Conformal semi-slant submersions from Lorentzian para Sasakian manifoldsPunit Kumar Singh, Rajendra Prasad, Sushil Kumar대한수학회 · 대한수학회논문집2019 · 제34권 제2호ON SEMI-INVARIANT SUBMANIFOLDS OF A NEARLY KENMOTSU MANIFOLD WITH A QUARTER SYMMETRIC NON-METRIC CONNECTION전재복, Mobin Ahmad한국수학교육학회 · 이론수학과 교직수학2011 · 제18권 제1호Non-existence of totally geodesic screen distributions on lightlike hypersurfaces of indefinite Kenmotsu manifolds진대호대한수학회 · 대한수학회논문집2013 · 제28권 제2호
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