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Put in other words, given an even-dimensional sphere $S^{2k}$: is there a manifold M$M$ such that $T^* M$ is diffeomorphic to $S^{2k}$?
Put in other words, given an even-dimensional sphere $S^{2k}$: is there a manifold M such that $T^* M$ is diffeomorphic to $S^{2k}$?
Put in other words, given an even-dimensional sphere $S^{2k}$: is there a manifold $M$ such that $T^* M$ is diffeomorphic to $S^{2k}$?
