3 papers
math.DG2026
An Explicit Model for Conic Laplacians on \(\mb P^1\)
Jia-Ming, Liou
We study an explicit model of a conic Laplacian on \(\mb P^1\) with cone angle \(2Ïn\) at \(0\) and \(\infty\). Using Fourier decomposition, we reduce the eigenvalue equation to a…
math.FA2026
Weyl Curves and Zeta Determinants of Conic Laplacians on Riemann Surfaces
Jia-Ming, Liou
We study self-adjoint realizations of conic Laplacians on compact Riemann surfaces with radial conic metrics whose cone angles are integral multiples of \(2π\). Their critical asym…
math.DG2025
Asymptotic Expansion of the Gaussian Integral Operators on Riemannian submanifolds of
Jia-Ming, Liou, Chi-Chien Lu
The Gaussian integral operator arises naturally as a local Euclidean approximation of the heat semigroup on a Riemannian manifold and plays a pivotal role in the analysis of graph…