On the piecewise geodesic approximation of Andersson and Driver

Yuzuru Inahama · Osaka City University (Osaka City University) · 2005

In 1999 Andersson and Driver proved a piecewise geodesic approximation formula for path integrals on compact Riemannian manifolds.Here, geodesics are those of the Levi-Civita connection.In this paper we will generalize their result for 1 -type metric to the case of general metric connections.P ( ) denotes the space of piecewise geodesics in which change directions only

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