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• W1543293785 abstract "Two metrics $g $ and $bar g$ are geodesically equivalent, if they share the same (unparameterized) geodesics. We introduce two constructions that allow one to reduce many natural problems related to geodesically equivalent metrics, such as the classification of local normal forms and the Lie problem (the description of projective vector fields), to the case when the (1,1)-tensor $G^i_j:= g^{ik} bar g_{kj}$ has one real eigenvalue, or two complex conjugate eigenvalues, and give first applications. As a part of the proof of the main result, we generalize Topalov-Sinjukov (hierarchy) Theorem for pseudo-Riemannian metrics" @default.
• W1543293785 created "2016-06-24" @default.
• W1543293785 creator A5000408962 @default.
• W1543293785 creator A5031462022 @default.
• W1543293785 date "2009-04-03" @default.
• W1543293785 modified "2023-09-27" @default.
• W1543293785 title "Splitting and gluing constructions for geodesically equivalent pseudo-Riemannian metrics" @default.
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• W1543293785 hasPublicationYear "2009" @default.
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