Autor: |
YUNHUI WU, YUHAO XUE |
Předmět: |
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Zdroj: |
American Journal of Mathematics; Aug2022, Vol. 144 Issue 4, p1087-1114, 28p |
Abstrakt: |
In this article we study the first eigenvalues of closed Riemann surfaces for large genus. We show that for every closed Riemann surface Xg of genus g (g ≥ 2), the first eigenvalue of Xg is greater than ... up to a uniform positive constant multiplication. Where L1(Xg) is the shortest length of multi closed curves separating Xg. Moreover, we also show that this new lower bound is optimal as g→∞. [ABSTRACT FROM AUTHOR] |
Databáze: |
Complementary Index |
Externí odkaz: |
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