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The De Rham decomposition theorem

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Chirasree Chatterjee, Saint Louis University

What
  • Geometry/ Topology Seminar
When Thu, Apr 28, 2016
from 04:00 PM to 04:50 PM
Where Ritter Hall 225
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Abstract:  I shall be talking about the De Rham decomposition theorem. I will show that if the holonomy group of a simply connected complete Riemannian manifold M splits into a direct sum as a linear group acting on the tangent space (reducibility) then the manifold M is isometric to the direct product of an Euclidean space with k simply connected, complete, irreducible Riemannian manifolds. Such a decomposition is unique up to order k.

 

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