3 papers
math.RT2023
Quotients of exact categories by pseudo-cluster tilting subcategories
Jie Xu, Yuefei Zheng
We introduce the concept of a pseudo-cluster tilting subcategory from the viewpoint of the fact that the quotient of an exact category by a cluster tilting subcategory is an abelia…
math.DG2022
Prescribed Scalar Curvature Problem under Conformal Deformation of A Riemannian Metric with Dirichlet Boundary Condition
Jie Xu
In this article, we first show that for all compact Riemannian manifolds with non-empty smooth boundary and dimension at least 3, there exists a metric, pointwise conformal to the…
math.AP2022
Uniqueness of global weak solutions to the frame hydrodynamics for biaxial nematic phases in
Sirui Li, Chenchen Wang, Jie Xu
We consider the hydrodynamics for biaxial nematic phases described by a field of orthonormal frame, which can be derived from a molecular-theory-based tensor model. We prove the un…