New examples of manifolds with completely integrable geodesic flows

1990/12/04 by Paternain, Gabriel, Spatzier, Ralf J. · 1 citation
#Differential Geometry (math.DG) #Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.math/9201276

Abstract

We construct Riemannian manifolds with completely integrable geodesic flows, in particular various nonhomogeneous examples. The methods employed are a modification of Thimm's method, Riemannian submersions and connected sums.

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