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edited Dec 18, 2013 at 0:12

Igor Belegradek

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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

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