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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2016 / Cilt: 45 - Sayı: 2

On the rescaled Riemannian metric of Cheeger-Gromoll type on the cotangent bundle

Aydin Gezer
Murat Altunbas
Sayfa
355–365
Yayın Tarihi
2022-10-18
DOI
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Also, some properties of almost paracomplex Norden structures in context of almost product Riemannian manifolds are presented.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:Let (M, g) be an n−dimensional Riemannian manifold and T ∗M be its cotangent bundle equipped with a Riemannian metric of CheegerGromoll type which rescale the horizontal part by a positive differentiable function.
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Temel Bulgular & Veri:The main purpose of the present paper is to discuss curvature properties of T ∗M and construct almost paracomplex Norden structures on T ∗M.
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Sonuç & Katkı:Also, some properties of almost paracomplex Norden structures in context of almost product Riemannian manifolds are presented.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Almost paracomplex structure · connection · cotangent bundle

Abstract

Let (M, g) be an n−dimensional Riemannian manifold and T ∗M be its cotangent bundle equipped with a Riemannian metric of CheegerGromoll type which rescale the horizontal part by a positive differentiable function. The main purpose of the present paper is to discuss curvature properties of T ∗M and construct almost paracomplex Norden structures on T ∗M. We investigate conditions for these structures to be para-Kähler (paraholomorphic) and quasi-para-Kähler. Also, some properties of almost paracomplex Norden structures in context of almost product Riemannian manifolds are presented.

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Bu Makaleye Atıf Yap

Gezer, A., Altunbas, M. (2022). On the rescaled Riemannian metric of Cheeger-Gromoll type on the cotangent bundle. Hacettepe Journal of Mathematics and Statistics, Cilt: 45 - Sayı: 2, 355–365. https://ajindex.com/articles/530126

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Kaynakça (18)

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