H-projectively-equivalent four-dimensional Kahler manifolds
dg-ga
2008-02-03 v1 Differential Geometry
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.
Cite
@article{arxiv.dg-ga/9702005,
title = {H-projectively-equivalent four-dimensional Kahler manifolds},
author = {Dmitry A. Kalinin},
journal= {arXiv preprint arXiv:dg-ga/9702005},
year = {2008}
}
Comments
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