# A note on local rigidity

## TL;DR

This paper provides a geometric proof of the classical local rigidity of lattices in semisimple Lie groups, offering a potentially clearer understanding of these well-established results.

## Contribution

It introduces a geometric approach to prove local rigidity, reinterpreting classical results with a new perspective.

## Key findings

- Geometric proof of local rigidity established
- Clarifies understanding of lattice rigidity in Lie groups
- Reproves classical results with a new method

## Abstract

The aim of this note is to give a geometric proof for classical local rigidity of lattices in semisimple Lie groups. We are reproving well known results in a more geometric (and hopefully clearer) way.