The spectral geometry of the Weyl conformal tensor

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We study when the Jacobi operator associated to the Weyl conformal curvature tensor has constant eigenvalues on the bundle of unit spacelike or timelike tangent vectors. This leads to questions in the conformal geometry of pseudo-Riemannian manifolds which generalize the Osserman conjecture to this setting. We also study similar questions related to the skew-symmetric curvature operator defined by the Weyl conformal curvature tensor.

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Differential Geometry, Mathematical Physics, 53C50

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http://salesiana.dossiersoluciones.com/handle/123456789/68862

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0310226
 http://arxiv.org/abs/math/0310226

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arXiv