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作者:Irena Hinterleitner , Nadezda Guseva , Josef Mikeš
来源:[C].Proceedings of the Nineteenth International Conference on Geometry, Integrability and Quantization2018Project Euclid
摘要:In the present paper we prove non-existence theorems for conformal mappings of compact (pseudo-)Riemannian manifolds onto Einstein manifolds without boundary. We obtained certain conditions for which these mappings are only trivial.
作者:Irena Hinterleitner , Josef Mikeš
来源:[C].Proceedings of the Eighteenth International Conference on Geometry, Integrability and Quantization2017Project Euclid
摘要:In this paper we study fundamental equations of geodesic mappings of manifolds with affine connection onto (pseudo-)Riemannian manifolds. We proved that if a manifold with affine (or projective) connection of differentiability class $C^r (r\geq2)$ admits a geodesic mapping onto a...

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