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Complex, contact, Riemannian, pseudo-Riemannian and Finsler geometry, relativity, gauge theory, global analysis.
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Conformal changes of metric and geodesics
In "A foliation of geodesics is characterized by having no “tangent homologies”, J. of Pure and Applied Algebra Volume 13, Issue 1, 1978, Pages 101–104 D. Sullivan explains a necessary and sufficient …