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
Monotonicity formulas for minimal submanifolds involving Möbius transformations
Doanh Pham
For a minimal submanifold of the Euclidean space, we prove monotonicity formulas for its (weighted) volume within images of concentric balls under Möbius transformations.
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.