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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 …
Bugs Bunny's user avatar
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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 …
Bugs Bunny's user avatar
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