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math.DG2026
A wedge product theorem of compensated compactness theory with critical exponents on Riemannian manifolds
Xiaojin Bai, Siran Li, Xiangxiang Su
We formulate and prove compensated compactness theorems concerning the limiting behaviour of wedge products of weakly convergent differential forms on closed Riemannian manifolds Ã…
math.DG2025
On local solubility of Bao--Ratiu equations on surfaces related to the geometry of diffeomorphism group
Siran Li, Xiangxiang Su
We are concerned with the existence of asymptotic directions for the group of volume-preserving diffeomorphisms of a closed 2-dimensional surface within the full diffeomor…
math.DG2024
On the fundamental theorem of submanifold theory and isometric immersions with supercritical low regularity
Siran Li, Xiangxiang Su
A fundamental result in global analysis and nonlinear elasticity asserts that given a solution to the Gauss--Codazzi--Ricci equations over a simply-connected closed…