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Pseudoconvexity and geodesic connectedness
Authors:John K Beem  Phillip E Parker
Institution:(1) Present address: Department of Mathematics, University of Missouri, 65211 Columbia, MO;(2) Present address: Department of Mathematics, The Wichita State University, 67208 Wichita, KS
Abstract:Summary Let M be a smooth manifold with a linear connection. If M is pseudoconvex, disprisoning, and has no conjugate points, then each pair of points of M is joined by at least one geodesic.Supported in part by the National Science Foundation grant number DMS-8601342.
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