| Autor: |
Dória, Cayo, Freire, Emanoel M. S., Murillo, Plinio G. P. |
| Zdroj: |
Transactions of the American Mathematical Society; Feb2024, Vol. 377 Issue 2, p1247-1271, 25p |
| Abstrakt: |
In this article, for any n\geq 4 we construct a sequence of compact hyperbolic n-manifolds \{M_i\} with number of systoles at least as \mathrm {vol}(M_i)^{1+\frac {1}{3n(n+1)}-\epsilon } for any \epsilon >0. In dimension 3, the bound is improved to \mathrm {vol}(M_i)^{\frac {4}{3}-\epsilon }. These results generalize previous work of Schmutz for n=2, and Dória-Murillo for n=3 to higher dimensions. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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