Showing math.DGShow all
3 papers · 1 filter
math.DG2026
The classical Weyl law for Schrödinger operators on complete Riemannian manifolds
Maxim Braverman, Xianzhe Dai, Junrong Yan
We establish a criterion for the validity of the classical (non-semiclassical) Weyl law for Schrödinger operators on complete Riemannian manifolds. In contrast to exist…
math.DG2026
A first eigenvalue estimate for embedded hypersurfaces in positive Ricci curvature manifolds
Fagui Li, Junrong Yan
Let be a closed, embedded, oriented hypersurface in a closed oriented Riemannian manifold . Under a lower bound on the Ricci curvature and an upper bound on the sectional c…
math.DG2025
Witten deformation for non-Morse functions and gluing formula for analytic torsions
Junrong Yan
This paper concentrates on analyzing Witten deformation for a family of non-Morse functions parameterized by , resulting in a novel, purely analytic proof of the…