An observation about conformal points on surfaces

Peter Albers; Gabriele Benedetti

doi:10.1007/s40598-024-00248-7

An observation about conformal points on surfaces

Differential Geometry 2024-04-18 v1 Symplectic Geometry

Authors: Peter Albers , Gabriele Benedetti

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Abstract

We study the existence of points on a compact oriented surface at which a symmetric bilinear two-tensor field is conformal to a Riemannian metric. We give applications to the existence of conformal points of surface diffeomorphisms and vector fields.

Keywords

conformal geometry surface theory vector fields

Cite

@article{arxiv.2309.03319,
  title  = {An observation about conformal points on surfaces},
  author = {Peter Albers and Gabriele Benedetti},
  journal= {arXiv preprint arXiv:2309.03319},
  year   = {2024}
}