6 papers
The -th dual Minkowski problem for the -torsional rigidity corresponding to a -Hessian equation
Xia Zhao, Peibiao Zhao
The study of the dual curvature measures [Y. Huang, E. Lutwak, D. Yang \& G. Y. Zhang, Acta. Math. 216 (2016): 325-388], which connects the cone-volume measure and Aleksandrov's in…
The Minkowski problem with respect to the k-torsional rigidity associated with a k-Hessian equation
Xia Zhao, Peibiao Zhao
P. Salani [Adv. Math., 229 (2012)] introduced the -torsional rigidity associated with a -Hessian equation and obtained the Brunn-Minkowski inequalities the torsional…
The dual Minkowski problem for -torsional rigidity
Xia Zhao, Peibiao Zhao
The Minkowski problem for torsional rigidity (-torsional rigidity) was firstly studied by Colesanti and Fimiani \cite{CA} using variational method. Moreover, Hu \cite{HJ00} also…
Gauss curvature flow to the -Gaussian chord Minkowski problem
Xia Zhao, Peibiao Zhao
Recently, Huang and Qin \cite{HY01} introduced the Gaussian chord measure and -Gaussian chord measure by variational methods. Meanwhile, they posed Gaussian chord Minkowski pr…
Flow by Gauss Curvature to the Orlicz Minkowski Problem for q-torsional rigidity
Xia Zhao, Peibiao Zhao
The celebrated Minkowski problem for the torsional rigidity (-torsional rigidity) was firstly studied by Colesanti and Fimiani \cite{CA} using variational method. Moreover, Hu,…
The Minkowski problem in Heisenberg groups
Bin Chen, Juan Zhang, Peibiao Zhao +1
As we all know, the Minkowski type problem is the cornerstone of the Brunn-Minkowski theory in Euclidean space. The Heisenberg group as a sub-Riemannian space is the simplest non-A…