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

Two Kähler metrics on a complex manifold are called c-projectively equivalent if their J-planar curves coincide. These curves are defined by the property that the acceleration is complex proportional to the velocity. We give an explicit local description of all pairs of c-projectively equivalent Käh...

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Bibliographic Details
Main Authors: Alexey Bolsinov, Vladimir Matveev, Stefan Rosemann
Format: Default Article
Published: 2021
Subjects:
General Mathematics
Pure Mathematics
Other Mathematical Sciences
rigidity results
c-projective transformations
projective transformations
Hamiltonian 2-form
c-projectively equivalent metrics
geodesically equivalent metrics
projectively equivalent metrics
Kähler geometry
Online Access:https://hdl.handle.net/2134/13077389.v1
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