arXiv:1506.06541 Abstract | arXiv Analytics

arXiv:1506.06541 [math.DG]Abstract References Reviews Resources

Small eigenvalues of surfaces of finite type

Sugata Mondal, Werner Ballmann, Henrik Matthiesen

Published 2015-06-22Version 1

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.

Comments: 21 pages

Categories: math.DG

Keywords: finite type, small eigenvalues, complete riemannian surface, negative euler characteristic, closed surfaces

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