Klein-Gordon solvability and the geometry of geodesics.
John K. Beem and Phillip E. Parker
Pacific J. Math., Volume 107, Number 1 (1983), 1-14.
First available in Project Euclid: 8 December 2004
Permanent link to this document
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 53C50: Lorentz manifolds, manifolds with indefinite metrics
Beem, John K.; Parker, Phillip E. Klein-Gordon solvability and the geometry of geodesics.
Pacific J. Math. 107 (1983), no. 1, 1--14. https://projecteuclid.org/euclid.pjm/1102720734
-  Since the bicharacteristics of the Laplacian are points, every Rieman- nian manifold is -pseudoconvex. Geodesic pseudoconvexity is a natural variant, and is studied in 5. Principal causality is equivalent tothe condition that no inextendible causal geodesic lies in a compact set. Indeed, any integral curve of a (fiber homogeneous) vector field which stays in (or over) a compact set is complete. However, thecoordinates
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