# Curvature flows in semi-Riemannian manifolds

## TL;DR

This paper investigates the behavior of curvature flows in semi-Riemannian manifolds, establishing stability of limit hypersurfaces under certain initial conditions and reviewing key existence and regularity results.

## Contribution

It proves stability of limit hypersurfaces for curvature flows with initial velocities of weak sign and surveys related existence and regularity findings.

## Key findings

- Limit hypersurfaces are stable under specific initial conditions.
- Provides a comprehensive survey of existence and regularity results.
- Establishes conditions for convergence and stability of curvature flows.

## Abstract

We prove that the limit hypersurfaces of converging curvature flows are stable, if the initial velocity has a weak sign, and give a survey of the existence and regularity results.