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