On non-normalizable orbits of isometric actions on Lorentz manifolds |
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Authors: | Dávid Szeghy |
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Institution: | 1.ELTE University,Budapest,Hungary |
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Abstract: | For an isometric action of a Lie group G on a Lorentz manifold (M, g) we consider non-normalizable orbits, i.e. orbits which do not posses a G-invariant normal bundle. Orbits of this type are lightlike. It is shown, that such orbits contain lightlike homogeneous geodesics.
Moreover, conditions are given, under which there exists a set of normalizable orbits having an open dense union. |
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