2 papers
math.DG2026
Obata-Type Rigidity on Static Manifolds with Boundary
Hongyi Sheng, Kai-Wei Zhao
We investigate static metrics on simple manifolds with compact boundary and establish an Obata-type rigidity theorem. We identify new sufficient geometric conditions under which th…
math.RT2024
Smooth representations of affine Kac-Moody algebras
Vyacheslav Futorny, Xiangqian Guo, Yaohui Xue +1
Smooth modules for affine Kac-Moody algebras have a prime importance for the quantum field theory as they correspond to the representations of the universal affine vertex algebras.…