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ON ALMOST C(α)-MANIFOLDS SATISFYING CERTAIN CONDITIONS ON QUASI-CONFORMAL CURVATURE TENSOR
MEHMET ATCEKEN,UMIT YILDIRIM 장전수학회 2016 Proceedings of the Jangjeon mathematical society Vol.19 No.1
In the present paper, we have studied the curvature ten-sors of almost C(α)-manifolds satisfying the conditions C(ξ,X) Z = 0, C(ξ,X)P = 0, C(ξ,X)S = 0, Z(ξ,X)C = 0 and C(ξ,X) C = 0. Ac- cording these cases, we classified almost C(α)-manifolds.
Characterizations for totally geodesic submanifolds of $(\kappa,\mu)$-paracontact metric manifolds
Mehmet Atceken,Pakize Uygun 강원경기수학회 2020 한국수학논문집 Vol.28 No.3
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.
Pseudoparallel invariant submanifolds of $(LCS)_n$-manifolds
MEHMET ATCEKEN,UMIT YILDIRIM,Suleyman Dirik 강원경기수학회 2020 한국수학논문집 Vol.28 No.2
The aim of this paper is to study the invariant submanifolds of $(LCS)_n$-manifolds. We study pseudo parallel, generalized Ricci-pseudo parallel and 2-pseudo parallel invariant submanifolds of a $(LCS)_n$-manifold and get the necessary and sufficient conditions for an invariant submanifold to be totally geodesic and give some new results contribute to differential geometry.
Some results on invarinat submanifolds of Lorentzian para-Kenmotsu manifolds
Mehmet Atceken 강원경기수학회 2022 한국수학논문집 Vol.30 No.1
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.
Contact CR-Warped product Submanifolds in Cosymplectic Manifolds
Atceken, Mehmet Department of Mathematics 2016 Kyungpook mathematical journal Vol.56 No.3
The aim of this paper is to study the geometry of contact CR-warped product submanifolds in a cosymplectic manifold. We search several fundamental properties of contact CR-warped product submanifolds in a cosymplectic manifold. We also give necessary and sufficient conditions for a submanifold in a cosymplectic manifold to be contact CR-(warped) product submanifold. After then we establish a general inequality between the warping function and the second fundamental for a contact CR-warped product submanifold in a cosymplectic manifold and consider contact CR-warped product submanifold in a cosymplectic manifold which satisfy the equality case of the inequality and some new results are obtained.
Phenotypic and Molecular Characterization of Risk Loci Associated With Asthma and Lung Function
Mehmet Karaca,Nazente Atceken,Şefayet Karaca,Ersoy Civelek,Bülent E. Şekerel,Renato Polimanti 대한천식알레르기학회 2020 Allergy, Asthma & Immunology Research Vol.12 No.5
Purpose: Respiratory diseases have a highly multifactorial etiology where different mechanisms contribute to the individual's susceptibility. We conducted a deep characterization of loci associated with asthma and lung function by previous genome-wide association studies (GWAS). Methods: Sixteen variants were selected from previous GWAS of childhood/adult asthma and pulmonary function tests. We conducted a phenome-wide association study of these loci in 4,083 traits assessed in the UK Biobank (n = 361,194 participants). Data from the Genotype-Tissue Expression (GTEx) project were used to conduct a transcriptomic analysis with respect to tissues relevant for asthma pathogenesis. A pediatric cohort assessed with the International Study of Asthma and Allergies in Children (ISAAC) Phase II tools was used to further explore the association of these variants with 116 traits related to asthma comorbidities. Results: Our phenome-wide association studies (PheWAS) identified 206 phenotypic associations with respect to the 16 variants identified. In addition to the replication of the phenotypes tested in the discovery GWAS, we observed novel associations related to blood levels of immune cells (eosinophils, neutrophils, monocytes, and lymphocytes) for the asthma-related variants. Conversely, the lung-function variants were associated with phenotypes related to body fat mass. In the ISAAC-assessed cohort, we observed that risk alleles associated with increased fat mass can exacerbate allergic reactions in individuals affected by allergic respiratory diseases. The GTEx-based analysis showed that the variants tested affect the transcriptomic regulation of multiple surrounding genes across several tissues. Conclusions: This study generated novel data regarding the genetics of respiratory diseases and their comorbidities, providing a deep characterization of loci associated with asthma and lung function.