论文标题
Minkowski问题基于（p，q）的quermassIntegrals
The Minkowski problem based on the (p,q)-mixed quermassintegrals
论文作者
论文摘要
Lutwak，Yang和Zhang [23]引入了LP双曲率测量的概念，用于凸面和星体，并研究了Minkowski问题。我们在本文中简要地建立了一个新的统一概念，即（p，q）的QuermassIntegrals，通过（P，Q）双重混合曲率度量，并进一步讨论了Minkowski问题（P，Q） - 双重的双重混合曲率度量。顺便说一句，我们在（P，Q）混合的QuermassIntegrals的一些重要特性和几何不等式中得出。
Lutwak, Yang and Zhang [23] introduced the concept of Lp dual curvature measure for convex bodies and star bodies, and studied the Minkowski problem. We in this paper establish a new unified concept, in briefly, the (p,q)-mixed quermassintegrals, via (p,q)-dual mixed curvature measure, and further have a deep discussion on Minkowski problem with respect to the (p,q)-dual mixed curvature measure. By the way, we derive at some important properties and geometric inequalities for (p,q)-mixed quermassintegrals.
