Geodesic rigidity of Levi-Civita connections admitting essential projective vector fields

Author:

Ma TianyuORCID

Publisher

Springer Science and Business Media LLC

Subject

Geometry and Topology

Reference15 articles.

1. Kobayashi, S., Nagano, T.: On projective connections. J. Math. Mech. 13, 215–236 (1964)

2. Matveev, V.: Proof of the projective Lichnerowicz–Obata conjecture. J. Differ. Geom. 75(3), 459–502 (2007)

3. Bolsinov, A., Matveev, V.: Local normal forms for geodesically equivalent pseudo-Riemannian metrics. Trans. Am. Math. Soc. 367, 6719–6749 (2015)

4. Bolsinov, A., Matveev, V.: Splitting and gluing lemmas for geodesically equivalent pseudo-Riemannian metrics. Trans. Am. Math. Soc. 363, 4081–4107 (2011)

5. Matveev, V., Rosemann, S., Bolsinov, A.: Local normal forms for c-projectively equivalent metrics and proof of the Yano–Obata conjecture in arbitrary signature. Proof of the projective Lichnerowicz conjecture for Lorentzian metrics. arXiv:1510.00275

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