3 papers
math.GT2026
Rigidity Theorems for the Weyl Problem of Convex Surfaces in Hyperbolic 3-Space
Xinrong Zhao
In this paper, we study the rigidity of non-compact convex sets in hyperbolic 3-space. We prove that any intrinsic isometry between the boundaries of two non-compact closed convex…
math.GT2026
Combinatorial Ricci Flows and Hyperbolic Structures on a Class of Compact -Manifolds with Boundary
Xinrong Zhao
In this paper, we study a combinatorial Ricci flow on closed pseudo -manifolds . We prove that if every edge in the triangulation has valence at l…
math.AP2025
Ground state solutions of -Laplacian equations with nonnegative potentials on Lattice graphs
Xinrong Zhao
In this paper, we study the -Laplacian equation on the lattice graph with nonnegative potentials, where is the disc…