Projectively Equivalent Metrics Subject to Constraints
نویسندگان
چکیده
منابع مشابه
On projectively equivalent metrics near points of bifurcation
Let Riemannian metrics g and ḡ on a connected manifold Mn have the same geodesics (considered as unparameterized curves). Suppose the eigenvalues of one metric with respect to the other are all different at a point. Then, by the famous Levi-Civita’s Theorem, the metrics have a certain standard form near the point. Our main result is a generalization of Levi-Civita’s Theorem for the points where...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1984
ISSN: 0002-9947
DOI: 10.2307/1999261