Article ID Journal Published Year Pages File Type
9500528 Differential Geometry and its Applications 2005 16 Pages PDF
Abstract
Volume comparison results are obtained for the volume of geodesic celestial spheres in Lorentzian manifolds and the corresponding objects in Lorentzian space forms. Also, as a rigidity result it is shown that the volume of geodesic celestial spheres is independent of the instantaneous observer if and only if the spacetime has constant curvature.
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Physical Sciences and Engineering Mathematics Analysis
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Comparison results for the volume of geodesic celestial spheres in Lorentzian manifolds
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