A spacelike surface in Minkowski space $\mathbb{R}_1^3$ is called a $K^{\alpha}$-translator of the flow by powers Gauss curvature if satisfies $K^{\alpha} = \langle N, \vec{v} \rangle$, $\alpha \neq 0$, where $K$ curvature, $N$ unit normal vector field and $\vec{v}$ direction $\mathbb{R}_1^3$. In this paper, we classify all rotational $K^{\alpha}$-translators. This classification will depend on...

Local versions of the Minkowski tensors of convex bodies in ndimensional Euclidean space are introduced. An extension of Hadwiger’s characterization theorem for the intrinsic volumes, due to Alesker, states that the continuous, isometry covariant valuations on the space of convex bodies with values in the vector space of symmetric p-tensors are linear combinations of modified Minkowski tensors....

For a given d-dimensional Minkowski space (finite dimensional Banach space) with unit ball B, one can define the concept of surface area in different ways when d ≥ 3. There exist two well-known definitions of surface area: the Busemann definition and HolmesThompson definition of surface area. The purpose of this paper is to establish lower bounds for the surface area of the unit ball in a d-dim...

We introduce a quantum Minkowski space-time based on the quantum group SU(2)q extended by a degree operator and formulate a quantum version of the anti-self-dual Yang-Mills equation. We construct solutions of the quantum equations using the classical ADHM linear data, and conjecture that, up to gauge transformations, our construction yields all the solutions. We also find a deformation of Penro...

In this paper, we introduce them-WG inverse in Minkowski space. Firstly, show the existence and uniqueness of m-WG inverse. Secondly, give representations Thirdly, characterize by applying a bordered matrix. addition, extend generalized Cayley-Hamilton theorem to Finally, apply solve linear equations

A bstract CFTs in Euclidean signature satisfy well-accepted rules, such as the convergent OPE. It is nowadays common to assume that CFT correlators exist and have various properties also Lorentzian signature. Some of these may represent extra assumptions, it an open question if they hold for familiar statistical-physics critical 3d Ising model. Here we consider Wightman 4-point functions scalar...