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.
Let $M$ be the manifold of all matrices in $M_{n}(\mathbb{R})$ with fixed rank $k$$0<k<n$. The projectivization of $M$ is denoted by $PM$.
Does $PM$ satisfy fixed point property?
Let $M$ be the manifold of all matrices in $M_{n}(\mathbb{R})$ with fixed rank $k$. The projectivization of $M$ is denoted by $PM$.
Let $M$ be the manifold of all matrices in $M_{n}(\mathbb{R})$ with fixed rank $0<k<n$. The projectivization of $M$ is denoted by $PM$.
