4 papers
-ring structure in differential K-theory
Bo Liu, Xiaonan Ma
We establish the splitting principle for differential K-theory, a refinement of topological K-theory that incorporates geometric data via differential forms. Using this principle,…
Llarull's theorem on noncompact manifolds with boundary
Bo Liu, Daoqiang Liu
Recently, Zhang \cite{Zh20} and Li-Su-Wang-Zhang \cite{LSWZ24+} generalized Llarull's theorem to the noncompact complete spin manifold. In this paper, we further extend their resul…
Fourier frames on smooth surfaces with nonvanishing Gaussian curvature
Xinyu Chen, Bochen Liu
It is known that a small spherical cap (rigorously its surface measure) admits Fourier frames, while the whole sphere does not. In this paper, we prove more general results. Conseq…
Fourier Frames on Salem Measures
Longhui Li, Bochen Liu
For every we construct -dimensional Salem measures in the unit interval that do not admit any Fourier frame. Our examples are generic for each , including all exi…