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Small eigenvalues of surfaces of finite type

Differential Geometry 2019-02-20 v1

Abstract

Extending our previous work on eigenvalues of closed surfaces and work of Otal and Rosas, we show that a complete Riemannian surface S of finite type and negative Euler characteristic has at most negative of the Euler characteristics many small eigenvalues.

Keywords

Cite

@article{arxiv.1506.06541,
  title  = {Small eigenvalues of surfaces of finite type},
  author = {Sugata Mondal and Werner Ballmann and Henrik Matthiesen},
  journal= {arXiv preprint arXiv:1506.06541},
  year   = {2019}
}

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21 pages