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edit approved Aug 5, 2017 at 11:57
Ali Taghavi
edit approved Aug 5, 2017 at 11:57
Ali Taghavi
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Marcos Petrúcio Cavalcante
Marcos Petrúcio Cavalcante
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Is there a (canonical) Riemannian submersion from the complex hyperbolic space $\mathbb C\mathbb H^n$ into the hyperbolic space $\mathbb H^n$?

In the affirmative case, how to computewhat can we say about the geometry of the fibers or about the O'Neill tensors (T and A) of this submersion?

Is there a (canonical) Riemannian submersion from the complex hyperbolic space $\mathbb C\mathbb H^n$ into the hyperbolic space $\mathbb H^n$?

In the affirmative case, how to compute the O'Neill tensors (T and A) of this submersion?

Is there a (canonical) Riemannian submersion from the complex hyperbolic space $\mathbb C\mathbb H^n$ into the hyperbolic space $\mathbb H^n$?

In the affirmative case, what can we say about the geometry of the fibers or about the O'Neill tensors (T and A)?

Source Link
Marcos Petrúcio Cavalcante
Marcos Petrúcio Cavalcante
  • 93
  • 5

Riemannian submersions from complex hyperbolic space into the hyperbolic space

Is there a (canonical) Riemannian submersion from the complex hyperbolic space $\mathbb C\mathbb H^n$ into the hyperbolic space $\mathbb H^n$?

In the affirmative case, how to compute the O'Neill tensors (T and A) of this submersion?