2 papers
math.DG2024
Harmonic metrics of generically regular nilpotent Higgs bundles over non-compact surfaces
Song Dai, Qiongling Li
A rank Higgs bundle is called generically regular nilpotent if but . We show that for a generically regular nilpotent Higgs bundle, if it admits…
math.DG2024
Every closed surface of genus at least 18 is Loewner
Qiongling Li, Weixu Su
In this paper, we obtain an improved upper bound involving the systole and area for the volume entropy of a Riemannian surface. As a result, we show that every orientable and close…