Title: A K-Theoretic Proof of the Morse Index Theorem in Semi-Riemannian Geometry
Abstract: We give a short proof of the Morse index theorem for geodesics in semi-Riemannian manifolds by using K-theory. This makes the Morse index theorem reminiscent of the Atiyah-Singer index theorem for families of selfadjoint elliptic operators.
Publication Year: 2010
Publication Date: 2010-07-07
Language: en
Type: preprint
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Cited By Count: 2
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