The Ricci-Bourguignon flow on Heisenberg and quaternion Lie groups
Differential Geometry
2018-10-11 v1
Abstract
In this paper, we study the Ricci-Bourguignon flow on higher dimensional classical Heisenberg nilpotent Lie groups and construct a solution of this flow on Heisenberg and quaternion nilpotent Lie groups. In the end, we investigate the deformation of spectrum and length spectrum on compact nilmanifolds obtained of Heisenberg and quaternion nilpotent Lie groups.
Keywords
Cite
@article{arxiv.1810.04283,
title = {The Ricci-Bourguignon flow on Heisenberg and quaternion Lie groups},
author = {Shahroud Azami},
journal= {arXiv preprint arXiv:1810.04283},
year = {2018}
}