Geodesic mappings and Einstein spaces. (English) Zbl 1268.53049

Kielanowski, Piotr (ed.) et al., Geometric methods in physics. XXX workshop, Białowieża, Poland, June 26 – July 2, 2011. Selected papers based on the presentations at the workshop. Basel: Birkhäuser (ISBN 978-3-0348-0447-9/hbk; 978-3-0348-0448-6/ebook). Trends in Mathematics, 331-335 (2013).
First the authors study the general dependence of geodesic mappings of (pseudo-)Riemannian manifolds in dependence on the smoothness class of the metric. Then they describe some properties of geodesic mappings of Einstein spaces.
For the entire collection see [Zbl 1254.00029].


53C21 Methods of global Riemannian geometry, including PDE methods; curvature restrictions
53C25 Special Riemannian manifolds (Einstein, Sasakian, etc.)
53B21 Methods of local Riemannian geometry
53B30 Local differential geometry of Lorentz metrics, indefinite metrics
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