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The Minkowski problem based on the (p,q)-mixed quermassintegrals
- Publication Year :
- 2020
-
Abstract
- 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.<br />Comment: 28 pages, 1 figure
- Subjects :
- Mathematics - Differential Geometry
52A20 (Primary) 52A40, 52A39 (Secondary)
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2010.11373
- Document Type :
- Working Paper