Completeness of Lorentz manifolds of constant curvature admitting Killing vector fields
نویسندگان
چکیده
منابع مشابه
Completeness of Compact Lorentz Manifolds Admitting a Timelike Conformal Killing Vector Field
It is proved that every compact Lorentz manifold admitting a timelike conformai Killing vector field is geodesically complete. So, a recent result by Kamishima in J. Differential Geometry [37 (1993), 569-601] is widely extended. Recently, it has been proved in [2] that a compact Lorentz manifold of constant curvature admitting a timelike Killing vector field is (geodesically) complete. It is na...
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ژورنال
عنوان ژورنال: Journal of Differential Geometry
سال: 1993
ISSN: 0022-040X
DOI: 10.4310/jdg/1214453900