3 papers
math.AP2026
Determinant majorization for hyperbolic polynomials on Euclidean Jordan algebras
Doanh Pham
Under cone containment and the central ray hypothesis, we prove a determinant majorization result for hyperbolic polynomials on Euclidean Jordan algebras. In the case of real symme…
math.DG2026
A monotonicity formula for anisotropic minimal hypersurfaces
Doanh Pham
Under a sign assumption on the Minkowski norm, we prove a monotonicity formula for anisotropic minimal hypersurfaces in Euclidean space.
math.DG2024
A logarithmic Sobolev inequality for closed submanifolds with constant length of mean curvature vector
Doanh Pham
In this paper, we prove a logarithmic Sobolev inequality for closed submanifolds with constant length of mean curvature vector in a manifold with nonnegative sectional curvature.