MathSciDoc: An Archive for Mathematician ∫

 
Log In
Sign Up
Help
Go
 

Sharp affine isoperimetric inequalities for the volume decomposition functionals of polytopes

Liu Yude Tongji University Sun Qiang Tongji University Xiong Ge Tongji University

Convex and Discrete Geometry mathscidoc:2108.40001

Advances in Mathematics, 389, 107902, 2021.8
The nth power of the volume functional Vnof polytopes P in R^n, according to dimensions of the spaces spanned by any nunit outer normal vectors of P, is decomposed into nhomogeneous polynomials of degree n. A set of new sharp affine isoperimetric inequalities for these volume decomposition functionals in R^3 are established, which essentially characterize the geometric and algebraic structures of polytopes.
Polytope; volume decomposition functional; affine isoperimetric inequality
[ Download ] [ 2021-08-10 12:01:47 uploaded by xiongge ] [ 819 downloads ] [ 0 comments ] 
@inproceedings{liu2021sharp,
  title={Sharp affine isoperimetric inequalities for the volume decomposition functionals of polytopes},
  author={Liu Yude, Sun Qiang, and Xiong Ge},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20210810120147750071852},
  booktitle={Advances in Mathematics},
  volume={389},
  pages={107902},
  year={2021},
}
Liu Yude, Sun Qiang, and Xiong Ge. Sharp affine isoperimetric inequalities for the volume decomposition functionals of polytopes. 2021. Vol. 389. In Advances in Mathematics. pp.107902. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20210810120147750071852.
Please log in for comment!
 
 
Contact us: office-iccm@tsinghua.edu.cn | Copyright Reserved