Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.
I'm wondering whether an $n$-dimensional manifold diffeomorphic to $R^n$$\mathbb{R}^n$ if its tangent bundle is diffeomorphic to $R^{2n}$$\mathbb{R}^{2n}$. Many thanks!
I'm wondering whether an $n$-dimensional manifold diffeomorphic to $R^n$ if its tangent bundle is diffeomorphic to $R^{2n}$. Many thanks!
I'm wondering whether an $n$-dimensional manifold diffeomorphic to $\mathbb{R}^n$ if its tangent bundle is diffeomorphic to $\mathbb{R}^{2n}$. Many thanks!
