Small eigenvalues of surfaces of finite type

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.

21 pages

References in corpus (1)

• Systole and ${\lambda }_{2g-2}$ of a hyperbolic surface

Cited by in corpus (1)

• Cheeger bounds on spin-two fields