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asked Dec 17, 2013 at 21:53

Hyperbolic Asker

21
1

Is the tangent bundle of hyperbolic space trivial?

Let H be hyperbolic n-space. Let TH be the tangent bundle of H, endowed with its Sasaki metric. I have two questions:

Is TH isometric to H times a flat n-space?
What is the group of isometries of TH?

riemannian-geometry hyperbolic-geometry

asked Dec 17, 2013 at 21:53

Hyperbolic Asker

21
1