Magnetic curves in tangent sphere bundles II

2018 ◽  
Vol 466 (2) ◽  
pp. 1570-1581 ◽  
Author(s):  
Jun-ichi Inoguchi ◽  
Marian Ioan Munteanu
Keyword(s):  
Tangent Sphere

On the non-regularity of tangent sphere bundles

1978 ◽  
Vol 82 (1-2) ◽  
pp. 13-17 ◽  
Author(s):  
David E. Blair
Keyword(s):  
Riemannian Manifold ◽  
Large Class ◽  
Constant Curvature ◽  
Positive Constant ◽  
Contact Structure ◽  
Compact Riemannian Manifold ◽  
Contact Structures ◽  
Sphere Bundle ◽  
Contact Manifolds ◽  
Tangent Sphere

SynopsisClassically the tangent sphere bundles have formed a large class of contact manifolds; their contact structures are not in general regular, however. Specifically we prove that the natural contact structure on the tangent sphere bundle of a compact Riemannian manifold of non-positive constant curvature is not regular.

On Einstein Riemannian g-natural metrics on unit tangent sphere bundles

2010 ◽  
Vol 38 (1) ◽  
pp. 11-20 ◽  
Author(s):  
Mohamed Tahar Kadaoui Abbassi ◽  
Oldřich Kowalski
Keyword(s):  
Tangent Sphere ◽  
Unit Tangent Sphere Bundles

The curvature of the Sasaki metric of tangent sphere bundles

1990 ◽  
Vol 48 (1) ◽  
pp. 108-117
Author(s):  
A. L. Yampol'ski�
Keyword(s):  
Sasaki Metric ◽  
Tangent Sphere
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