Kahler metrics whose geodesics are circles

Vladlen Timorin

Kahler metrics whose geodesics are circles

微分几何 2007-05-23 v1 度量几何

作者: Vladlen Timorin

摘要

We classify all Kahler metrics in an open subset of $C^2$ whose real geodesics are circles. All such metrics are equivalent (via complex projective transformations) to Fubini metrics (i.e. to Fubini-Study metric on $CP^2$ restricted to an affine chart, to the complex hyperbolic metric in the unit ball model or to the Euclidean metric).

关键词

kähler metrics

引用

@article{arxiv.math/0112053,
  title  = {Kahler metrics whose geodesics are circles},
  author = {Vladlen Timorin},
  journal= {arXiv preprint arXiv:math/0112053},
  year   = {2007}
}

备注

10 pages

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