Essential Conformal Fields in Pseudo-Riemannian Geometry. II

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概要

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• We study conformal vector fields on pseudo- Riemannian manifolds. In the case of conformally flat manifolds, the main tool is the conformal development map into the projective quadric. On the other hand, we show that there exists a pseudo-Riemannian manifold carrying a complete and essential vector field which is not conformally flat. The example implies that there is no finite dimensional moduli space for such manifolds. Therefore, a pseudo-Riemannian analogue of Alekseevskii's theorem on the classification of essential conformal vector fields cannot be expected.

• 東京大学の論文

著者

• Kuhnel W

  Mathematisches Institut B Universitat Stuttgart

• Rademacher H.-B

  Mathematisches Institut, Universitat Leipzig

• Rademacher H.-b

  Mathematisches Institut Universitat Leipzig

関連論文

• Essential Conformal Fields in Pseudo-Riemannian Geometry. II

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