p-Geodesic transformations and their groups in second-order tangent bundles induced by concircular transformations of bases

2009 ◽  
Vol 61 (3) ◽  
pp. 414-434 ◽  
Author(s):  
K. M. Zubrilin
Keyword(s):  
Second Order ◽  
Tangent Bundles ◽  
Order Tangent

scholarly journals Second order tangent bundles of infinite dimensional manifolds

2004 ◽  
Vol 52 (2) ◽  
pp. 127-136 ◽  
Author(s):  
C.T.J. Dodson ◽  
G.N. Galanis
Keyword(s):  
Second Order ◽  
Infinite Dimensional ◽  
Tangent Bundles ◽  
Order Tangent

Geometry of the second-order tangent bundles of Riemannian manifolds

2017 ◽  
Vol 38 (4) ◽  
pp. 985-998 ◽  
Author(s):  
Aydin Gezer ◽  
Abdullah Magden
Keyword(s):  
Riemannian Manifolds ◽  
Second Order ◽  
Tangent Bundles ◽  
Order Tangent

Canonical Poisson–Nijenhuis structures on higher order tangent bundles

2014 ◽  
Vol 111 (1) ◽  
pp. 21-37
Author(s):  
P. M. Kouotchop Wamba
Keyword(s):  
Higher Order ◽  
Tangent Bundles ◽  
Order Tangent

Geometry of second order tangent bundle

2015 ◽  
pp. 245-272
Author(s):  
C. T. J. Dodson ◽  
George Galanis ◽  
Efstathios Vassiliou
Keyword(s):  
Tangent Bundle ◽  
Second Order ◽  
Order Tangent ◽  
Second Order Tangent Bundle

scholarly journals The second-order tangent bundle with deformed 2nd lift metric

2019 ◽  
Vol 16 (04) ◽  
pp. 1950062
Author(s):  
Abdullah Magden ◽  
Kubra Karaca ◽  
Aydin Gezer
Keyword(s):  
Tangent Bundle ◽  
Tensor Field ◽  
Complex Structure ◽  
Sufficient Conditions ◽  
Second Order ◽  
Riemannian Curvature Tensor ◽  
Almost Complex ◽  
Horizontal Part ◽  
Order Tangent ◽  
Second Order Tangent Bundle

Let [Formula: see text] be a pseudo-Riemannian manifold and [Formula: see text] be its second-order tangent bundle equipped with the deformed [Formula: see text]nd lift metric [Formula: see text] which is obtained from the [Formula: see text]nd lift metric by deforming the horizontal part with a symmetric [Formula: see text]-tensor field [Formula: see text]. In the present paper, we first compute the Levi-Civita connection and its Riemannian curvature tensor field of [Formula: see text]. We give necessary and sufficient conditions for [Formula: see text] to be semi-symmetric. Secondly, we show that [Formula: see text] is a plural-holomorphic [Formula: see text]-manifold with the natural integrable nilpotent structure. Finally, we get the conditions under which [Formula: see text] with the [Formula: see text]nd lift of an almost complex structure is an anti-Kähler manifold.

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