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math.DG2026
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…
math.DG2026
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…
math.DG2026
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…