Subject: isomorphisms of hopf bundles From: villarini Date: Fri, 29 Sep 2006 14:50:08 +0200 I would like to post the following question to people in the list (hoping it is not toot trivial!..I am not a topologist..): Question: let S1-->S^2n+1-->CP^n be the hopf bundle let S1-->S-->S/S1 be another circle bundle, and let S be diffeomorphic (not equivariantly) to S^2n+1 Problem: is it true that the two bundles are always diffeomorphic, or homeomorphic? (I think it is true if n=1 and probably false if n>1...) In case of negative answer, can anyone suggest me a counterexample? thank you, and best regards massimo villarini I