Characterizations for totally geodesic submanifolds of a $ K $-paracontact manifold

Mehmet Atçeken; Tuğba Mert; Mehmet Atçeken; Tuğba Mert

doi:10.3934/math.2021430

AIMS Mathematics

2021, Volume 6, Issue 7: 7320-7332. doi: 10.3934/math.2021430

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Research article

Characterizations for totally geodesic submanifolds of a $ K $-paracontact manifold

Mehmet Atçeken ¹,
Tuğba Mert ^{1,2
,
,}

1.
Department of Mathematics, Aksaray University, Aksaray 68100, Turkey
2.
Department of Mathematics, Sivas Cumhuriyet University, Sivas 58140, Turkey

Received: 05 March 2021 Accepted: 26 April 2021 Published: 30 April 2021
MSC : 53C15, 53C44, 53D10

The aim of the present paper is to study pseudoparallel invariant submanifolds of a $ K $-paracontact metric manifold. We consider pseudoparallel, Ricci-generalized pseudoparallel and 2-Ricci generalized pseudo parallel invariant submanifolds of a $ K $-paracontact manifold and we obtain new results. We think contributes to providing some new and interesting results in the area of geometric structures on manifolds geometry.
- K-paracontact manifold,
- pseudoparallel,
- Ricci-generalized pseudoparallel,
- 2-pseudoparallel submanifolds
Citation: Mehmet Atçeken, Tuğba Mert. Characterizations for totally geodesic submanifolds of a $ K $-paracontact manifold[J]. AIMS Mathematics, 2021, 6(7): 7320-7332. doi: 10.3934/math.2021430

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Abstract

The aim of the present paper is to study pseudoparallel invariant submanifolds of a $ K $-paracontact metric manifold. We consider pseudoparallel, Ricci-generalized pseudoparallel and 2-Ricci generalized pseudo parallel invariant submanifolds of a $ K $-paracontact manifold and we obtain new results. We think contributes to providing some new and interesting results in the area of geometric structures on manifolds geometry.

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