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Ali Taghavi
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Equivariant vector bundle structure on the tangent bundle of compact Riemann surfaces with non trivial action on the base space,

Let $M_{g}$ be the compact Riemann surface with $g\geq 2$. Is there an infinit group $G$ with an equivariant action on the pair $(TM_{g}, M_{g})$ such that the action on the fibers preserves the inner product, moreover there is no a $G$-fixed point on the base space. Recall that a $G$-fixed point is a point $p$ with $g.p=p$ for all $g\in G$.

This question is a remedy of my previous post bellow

http://mathoverflow.net/questions/252271/equivariant-bundle-structure-on-the-tangent-bundle-of-compact-riemann-surfaces

Ali Taghavi
  • 356
  • 8
  • 31
  • 123