English

Killing potentials with geodesic gradients on K\"ahler surfaces

Differential Geometry 2013-09-11 v1

Abstract

We classify compact K\"ahler surfaces with nonconstant Killing potentials such that all integral curves of their gradients are reparametrized geodesics.

Keywords

Cite

@article{arxiv.1104.4132,
  title  = {Killing potentials with geodesic gradients on K\"ahler surfaces},
  author = {Andrzej Derdzinski},
  journal= {arXiv preprint arXiv:1104.4132},
  year   = {2013}
}

Comments

19 pages

R2 v1 2026-06-21T17:57:04.251Z