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

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

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

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

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

  1. Is $TH$ isometric to $H$ times a flat n-space?
  2. What is the group of isometries of $TH$?
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Hyperbolic Asker
Hyperbolic Asker
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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:

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