30 citations · 86 across the 18 of their papers we have counts for
19 papers
Non-maximal quasi-isometric -representations via alternating surfaces in complex pseudo-hyperbolic spaces
Qiongling Li, Junming Zhang
For every admissible non-maximal Toledo invariant , we construct a locus of irreducible representations of a closed genus- surface group into with Toled…
Every Closed Oriented Surface of Positive Genus Is Loewner
Qiongling Li
Using the universal-cover ball comparison theorem of Chodosh--Vikman, we have an easy consequence that every closed oriented Riemannian surface of positive genus is Loewner, that i…
Infinitesimal Rigidity of Cyclic Surfaces and Alternating Surfaces
Qiongling Li, Junming Zhang
We study the infinitesimal rigidity of equivariant minimal maps from the universal cover of a smooth oriented surface (possibly non-compact) into a Riemannian symmetric space, focu…
Higgs bundles in the Hitchin section over non-compact hyperbolic surfaces
Qiongling Li, Takuro Mochizuki
Let be an arbitrary non-compact hyperbolic Riemann surface, that is, not or . Given a tuple of holomorphic differentials $\boldsymbol q=(q_2,\cdots,q_n…
Harmonic metrics of generically regular semisimple Higgs bundles on non-compact Riemann surfaces
Qiongling Li, Takuro Mochizuki
We prove that a generically regular semisimple Higgs bundle equipped with a non-degenerate symmetric pairing on any Riemann surface always has a harmonic metric compatible with the…
Bounded differentials on unit disk and the associated geometry
Song Dai, Qiongling Li
For a harmonic diffeomorphism between the Poincaré disks, Wan showed the equivalence between the boundedness of the Hopf differential and the quasi-conformality. In this paper, we…