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H-projectively-equivalent four-dimensional Kahler manifolds

Dmitry A. Kalinin
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Abstract

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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BibTeXRIS

Dmitry A. Kalinin. 1997-02-07. H-projectively-equivalent four-dimensional Kahler manifolds. https://arxiv.org/abs/dg-ga/9702005

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