Geometria em Lisboa 8 July 2003, 17h00 Abstract: Given a principal G bundle E->B (where G is a compact connected lie group and E, B are closed manifolds). One would like to know if the isometry group of B can be made to act on E via bundle maps. This question was asked in the 60's by Palais and Stewart and they answer the question when G is a Torus. There were various subsequent proofs of this result for the case when G is a torus. We give another proof based on Yang-Mills theory. We also formulate the question for the case of G being a general compact Lie group and discuss related issues. Time: Tea 4.30 pm, Talk 5.00 pm | back |