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4
votes
Kähler structure on cotangent bundle?
I think it is false, in general. I have heard in a talk that $T^*M$ of Riemannian manifolds with non-constant curvature are "standard" examples of strictly almost Kahler manifolds. Quick google search …
3
votes
tangent and cotangent bundle
Your Maths does not add up. Let $n$ be the dimensional of $M$. The LHS is a vector bundle of dimension $2n$ on $M$. The RHS is a vector bundle of dimension of $2n$ on $T^*M$. If you just consider it a …