논문KCI 등재
Berger type deformed Sasaki metric on the cotangent bundle
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In this paper, we introduce the Berger type deformed Sasaki metric on the cotangent bundle $T^{\ast}M$ over an anti-paraK\"{a}hler manifold $(M, \varphi, g)$ as a new natural metric with respect to $g$ non-rigid on $T^{\ast}M$. Firstly, we investigate the Levi-Civita connection of this metric. Secondly, we study the curvature tensor and also we characterize the scalar curvature.
Abstract
In this paper, we introduce the Berger type deformed Sasaki metric on the cotangent bundle $T^{\ast}M$ over an anti-paraK\"{a}hler manifold $(M, \varphi, g)$ as a new natural metric with respect to $g$ non-rigid on $T^{\ast}M$. Firstly, we investigate the Levi-Civita connection of this metric. Secondly, we study the curvature tensor and also we characterize the scalar curvature.
참고문헌 (12)
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- Murat Altunbas, "Study Concerning Berger Type Deformed Sasaki Metric on the Tangent Bundle", Zurnal matematiceskoj fiziki, analiza, geometrii, 15(4), pp.435~447 (2019), National Academy of Sciences of Ukraine (Co. LTD Ukrinformnauka) (Publications)[DOI]
- A. Gezer, "On the rescaled Riemannian metric of Cheeger-Gromoll type on the cotangent bundle", Hacet. J. Math. Stat, 45(2), pp.355~365 (2016)
- F. Ocak, "Notes about a new metric on the cotangent bundle", Int. Electron. J. Geom, 12(2), pp.241~249 (2019)
- F. Ocak, "On a new metric in the cotangent bundle", Trans. Natl. Acad. Sci. Azerb. Ser. Phys.-Tech. Math. Sci, 38(1), pp.128~138 (2018)
- E. M. Patterson, "Riemann extensions", Quart. J. Math. Oxford Ser, (2) 3, pp.19~28 (1952)[DOI]
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- A. A. Salimov, "Paraholomorphic B-manifold and its properties", Topology Appl, 154(4), pp.925~933 (2007)[DOI]
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- M. Sekizawa, "Natural transformations of affine connections on manifolds to metrics on cotangent bundles", Rend. Circ. Mat. Palermo, (2) Suppl(14), pp.129~142 (1987)
- K. Yano, "Tangent and Ctangent Bundles: differential geometry" (1973), Marcel Dekker, Inc
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