Rigid Geometric Structures and Actions of Semisimple Lie Groups

  title={Rigid Geometric Structures and Actions of Semisimple Lie Groups},
  author={R. Feres},
Let M be a smooth manifold, G a geometric structure on M , and G a Lie group that acts on M so as to leave G invariant. In other words, G is a group of isometries of (M,G). The subject of these lectures will be the general interplay between the dynamics of the G-action on M and the geometry of (M,G), as well as how these relate to the topology of M . The case of a semisimple G will be of particular interest to us. Even with the constraint that G be semisimple, the objective stated above will… CONTINUE READING

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