首页|A Study on the Second Order Tangent Bundles over Bi-K?hlerian Manifolds
A Study on the Second Order Tangent Bundles over Bi-K?hlerian Manifolds
扫码查看
点击上方二维码区域，可以放大扫码查看
原文链接
NETL
NSTL
万方数据
This paper aims to study the Berger type deformed Sasaki metric gBs on the second order tangent bundle T2M over a bi-Kählerian manifold M.The authors firstly find the Levi-Civita connection of the Berger type deformed Sasaki metric gBS and calculate all forms of Riemannian curvature tensors of this metric.Also,they study geodesics on the second order tangent bundle T2M and bi-unit second order tangent bundle T21,1M,and characterize a geodesic of the bi-unit second order tangent bundle in terms of geodesic curvatures of its projection to the base.Finally,they present some conditions for a sectionσ:M → T2M to be harmonic and study the harmonicity of the different canonical projections and inclusions of(T2M,gBs).Moreover,they search the harmonicity of the Berger type deformed Sasaki metric gBs and the Sasaki metric gs with respect to each other.
Berger type deformed Sasaki metricBi-Kählerian structureGeodesicsHarmonicityRiemannian curvature tensorSecond order tangent bundle
Nour Elhouda DJAA、Aydin GEZER、Abderrahim ZAGANE
展开 >
Relizane University,Faculty of Sciences and Technology,Department of Mathematics,Algeria
Ataturk University,Faculty of Science,Department of Mathematics,25240,Erzurum-Turkey
NETL
NSTL
万方数据
