For successfully compiling Geant4 in Unbuntu 10.04 we found valuable information in this link:

https://www.ece.ualberta.ca/~kirkwood/GEANT4-Kubuntu.html

in our case, the libraries which had to be installed were :

libglu1-mesa-dev

libxt-dev

libxmu-dev

After that, we  compiled Geant4 9.2 Patch-03 without problems.  In a more recent installation  of Geant4 in another computer, also running  Ubuntu 10.04, we had compilation errors and  it  was necessary also to install

zlib1g-dev

Furthermore, for the installation of  ROOT   we needed:

libxft-dev

libxpm-dev