球面凸浮体
The Spherical Convex Floating Body
摘要：
对于欧氏单位球面上的凸体，引入球面凸浮体。研究了球形凸体及其球形浮体体积差的渐近性质。这就产生了一个新的球面面积度量，即浮动面积。值得注意的是，这个浮动区域原来是一个球面模拟的经典仿射微分几何仿射表面积。建立了浮动区的几个性质。
英文摘要：
For a convex body on the Euclidean unit sphere the spherical convex floating body is introduced. The asymptotic behavior of the volume difference of a spherical convex body and its spherical floating body is investigated. This gives rise to a new spherical area measure, the floating area. Remarkably, this floating area turns out to be a spherical analogue to the classical affine surface area from affine differential geometry. Several properties of the floating area are established.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
