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Ali Taghavi
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Fixed point property for the projectivization of manifold of fixed tank matrices

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

Does $PM$ satisfy fixed point property?

Ali Taghavi
  • 356
  • 8
  • 31
  • 123