Fixed point properties of nilpotent and solvable Lie group actions on Hadamard manifolds
Group Theory
2016-05-18 v1
Abstract
We will prove the following theorems. The first theorem posits the existence of a fixed point for the actions of nilpotent Lie groups on nonpositively curved compact manifolds. The second theorem states that actions of solvable Lie groups on nonpositively curved compact manifolds have either a fixed point or a 2-periodic point.
Keywords
Cite
@article{arxiv.1605.04991,
title = {Fixed point properties of nilpotent and solvable Lie group actions on Hadamard manifolds},
author = {Mehrzad Monzavi},
journal= {arXiv preprint arXiv:1605.04991},
year = {2016}
}
Comments
10 pages