Van Thu Ninh, Thi Lan Huong Nguyen, Quang Hung Tran & Hyeseon Kim, “On the Automorphism Groups of Finite Multitype Models in \mathbb{C}^n”, In this paper, we give an explicit description for the automorphism groups of finite multitype models in \mathbb{C}^n., The Journal of Geometric Analysis, 2019
Quang Hung Tran, “Some strengthened versions of Klamkin’s inequality and applications”, In this paper, we establish two strengthened versions of Klamkin’s inequality for an n-dimensional simplex in Euclidean space E^n and give some applications., Geometriae Dedicata volume, 2021
Quang Hung Tran, “Morley’s trisector Theorem for isosceles tetrahedron”, We extend Morley’s trisector theorem in the plane to an isosceles tetrahedron in three-dimensional space. We will show that the Morley tetrahedron of an isosceles tetrahedron is also isosceles tetrahedron. Furthermore, by the formula for distance in barycentric coordinate, we introduce and prove a general theorem on an isosceles tetrahedron., Acta Mathematica Hungarica, 2021
Quang Hung Tran, “A family of weighted Erdös–Mordell inequality and applications”, We establish a new generalization of the Erdös–Mordell inequality by adding more a set of weights to its terms. The same method is used on two other variants of the Erdös–Mordell inequality which are Barrow’s inequality and Dao–Nguyen–Pham’s inequality. Using these generalizations, we derived some strengthened versions of the original Erdös–Mordell inequality and its variations., Journal of Geometry, 2021
Quang Hung Tran, “Extending a Theorem of van Aubel to the Simplex”, We will extend an interesting theorem of van Aubel’s for a triangle in the plane to a simplex in the n-dimensional Euclidean space. The barycentric
coordinates over simplex and parallel projections in the n-dimensional Euclidean space will be used for the proof of these extensions., Journal for Geometry and Graphics, 2022
