GIT is a distributed version control system - that means it doesn't require to have any central repository. It's possible to build system by exchanging commits between equal nodes. It's convenient, however, to mark one repository as the central one. Of course you can change your decision at any time. I'll show you how to do that.
If you created your repo copy by "clone" operation you will have "origin" remote branch defined. This remote can be used to pull/push changes.
$ git remote -v origin zeus.aplikacja.info:cust-proj1
If you decide to change this definition later you can issue the following commands:
$ git remote rm origin $ git remote add origin git@github.com:aplikacjainfo/proj1.git $ git config master.remote origin $ git config master.merge refs/heads/master
After this change you can push your commits to new repository location (origin is selected as default remote branch for master, it's configured in .git/config):
$ git push
That's all. Much simpler than moving Subversion repository.
UPDATE 2011-12-09: replaced sed command with much simpler "git config" replacement.