Yazar "Aytimur, Hülya" için listeleme
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Chen inequalities for statistical submanifolds of Kahler-Like statistical manifolds
Aytimur, Hülya; Kon, Mayuko; Mihai, Adela; Özgür, Cihan; Takano, Kazuhiko (MDPI, 2019)We consider Kahler-like statistical manifolds, whose curvature tensor field satisfies a natural condition. For their statistical submanifolds, we prove a Chen first inequality and a Chen inequality for the invariant delta(2,2). -
Curvature invariants for anti-invariant riemannian submersions from cosymplectic space forms
Aytimur, Hülya (Springer Basel AG, 2023)We consider anti-invariant Riemannian submersions from cosypmlectic space forms. We also give examples such anti-invariant Riemannian submersions. We obtain curvature inequalities involving the Ricci curvature and the ... -
Einstein statistical warped product manifolds
Aytimur, Hülya; Özgür, Cihan (Univ Nis, 2018)We consider Einstein statistical warped product manifolds I x(f) N, M x(f) N and M X-f I, where I, M and N are 1, m and n dimensional statistical manifolds, respectively. -
Inequalities for submanifolds in statistical manifolds of quasi-constant curvature
Aytimur, Hülya; Özgür, Cihan (Polish Acad Sciences Inst Mathematics-Impan, 2018)We obtain inequalities for statistical submanifolds of a statistical manifold of quasi-constant curvature. We also obtain the Chen-Ricci inequality and the generalized Wintgen inequality for this type of submanifolds. -
Inequalities for submanifolds of Sasaki-like statistical manifolds
Aytimur, Hülya; Özgür, Cihan (Scientific Technical Research Council Turkey-TUBITAK, 2018)We consider statistical submanifolds in Sasaki-like statistical manifolds. We give some examples of invariant and antiinvariant submanifolds of Sasaki-like statistical manifolds. We prove Chen-like inequality involving ... -
İstatistiksel manifoldların geometrisi
Aytimur, Hülya (Balıkesir Üniversitesi Fen Bilimleri Enstitüsü, 2020)Bu tezde istatistiksel manifoldlar üzerinde çalışılmıştır. Bilinen bazı istatistiksel manifoldlar üzerinde skaler eğrilik için bazı eşitsizlikler elde edilmiş ve bu manifoldlar üzerinde Chen- Ricci ve genelleştirilmiş ... -
On cosymplectic-like statistical submersions
Aytimur, Hülya; Özgür, Cihan (Springer Basel AG, 2019)We study cosymplectic-like statistical submersions. It is shown that for a cosymplectic-like statistical submersion, the base space is a Kahler-like statistical manifold and each fiber is a cosymplectic-like statistical ... -
On statistical submanifolds in manifolds of quasi-constant curvature
Aytimur, Hülya (DergiPark, 2023)We mention some properties of statistical submanifolds in statistical manifolds of quasi-constant curvature. We obtain Chen first inequality and a Chen inequality for the δ(2, 2)-invariant for these manifolds. -
Relations between extrinsic and intrinsic invariants of statistical submanifolds in sasaki-like statistical manifolds
Aytimur, Hülya; Mihai, Adela; Özgür, Cihan (MDPI, 2021)The Chen first inequality and a Chen inequality for the delta(2, 2)-invariant on statistical submanifolds of Sasaki-like statistical manifolds, under a curvature condition, are obtained. -
Sb-metrik uzaylarda bazı sabit eğriler üzerine
Aytimur, Hülya (2023)Bu çalışmada, Sb - metrik uzaylarda sabit figüre problemleri için yeni çözümlerden bahsedilecektir. Özellikle, Cassini Eğrisi ve Apoollonius çemberi üzerinde durulacaktır. Bunun için ilk olarak Moradi tipinde Cu1u2-Sb ... -
Sharp inequalities for anti-invariant Riemannian submersions from Sasakian space forms
Aytimur, Hülya; Özgür, Cihan (Elsevier, 2021)We obtain sharp inequalities involving the Ricci curvature and the scalar curvature for anti-invariant Riemannian submersions from Sasakian space forms onto Riemannian manifolds. -
A study of Kenmotsu-like statistical submersions
Siddiqi, Mohd Danish; Siddiqui, Aliya Naaz; Mofarreh, Fatemah; Aytimur, Hülya (MDPI, 2022)In this paper, we first define a Kenmotsu-like statistical manifold (K.l.s.m) with examples. Then, we switch to Kenmotsu-like statistical submersions (K.l.s.s), where we investigate the fact that, for such submersions, ...
