H-projectively-equivalent four-dimensional Kahler manifolds

Details H-projectively-equivalent four-dimensional Kahler manifolds H-projectively-equivalent four-dimensional Kahler manifolds

1997-02-07

arxiv.org/abs/dg-ga/9702005v1

Mathematics

Differential Geometry

50K, LaTeX

Scientific paper

The paper is devoted to the investigation of four-dimensional Kahler manifolds admitting non-affine H-projective mappings. We find all such manifolds which are non-Einstein. In the paper also Kahler manifolds admitting infinitesimal H-projective transformations are determined. It is proved that the class of Kahler manifolds admitting H-projective mappings includes generalized equidistant Kahler manifolds. The explicit expression for the metrics of Ricci-flat four-dimensional generalized equidistant manifolds is given.

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