2 papers
math.DG2026
Complex-valued extension of mean curvature for surfaces in Riemann-Cartan geometry
Dongha Lee
We extend the framework of submanifolds in Riemannian geometry to Riemann-Cartan geometry, which addresses connections with torsion. This procedure naturally introduces a 2-form on…
math.DG2025
The renormalization of volume and Chern-Simons invariant for hyperbolic 3-manifolds
Dongha Lee
We renormalize the Chern-Simons invariant for convex-cocompact hyperbolic 3-manifolds by finding the asymptotics along an equidistance foliation. We prove that the metric Chern-Sim…