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math.DG2023
On the uniqueness of energy-minimizing curves in constrained spaces
Ki-Ahm Lee, Taehun Lee
In this paper, we investigate energy-minimizing curves with fixed endpoints and in a constrained space. We prove that when one of the endpoints, say , is fixed, the set…
math.DG2023★ 2 cited
Curvature bound for Minkowski problem
Kyeongsu Choi, Minhyun Kim, Taehun Lee
We establish curvature estimates for anisotropic Gauss curvature flows. By using this, we show that given a measure with a positive smooth density , any solution to the $L_p…
math.DG2023
An eigenvalue problem for prescribed curvature equations
Taehun Lee
We study an eigenvalue problem for prescribed -curvature equations of star-shaped, -convex, closed hypersurfaces. We establish the existence of a unique eigenvalue and its…