منابع مشابه
Splitting and Gluing Lemmas for Geodesically Equivalent Pseudo-riemannian Metrics
Two metrics g and ḡ 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 Gj := g ik ḡkj has one r...
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ژورنال
عنوان ژورنال: Asian Journal of Mathematics
سال: 2010
ISSN: 1093-6106,1945-0036
DOI: 10.4310/ajm.2010.v14.n3.a1