# Problem 134

## Primary tabs

1. If $\varphi _t$ is flow on a homogeneous space $G/ \Gamma$ with positive entropy, then there exists a compact $\varphi _t$ invariant section for the action of $N$
2. If the flow has entropy 0 and is ergodic, does this mean that there is  no $N$?

## Tags

Tags:

### FL

(For part 1.) Hardly legible. Wild guess here. Don't see what that means.

### FL

(part 2) Is $\varphi _t$ a one parameter subgroup here? and $N$ associated to it?