Context :

Aims : We report on a search for faint ( R total magnitude fainter than 21 ) and low surface brightness galaxies ( R central surface brightness fainter than \sim 24 ) ( fLSBs ) in a 0.72 \times 0.82 deg ^ { 2 } area centered on the Coma cluster .

Methods : We analyzed deep B and R band CCD imaging obtained using the CFH12K camera at CFHT and found 735 fLSBs .
The total B magnitudes , at the Coma cluster redshift , range from -13 to -9 with B central surface brightness as faint as 27 mag arcsec ^ { -2 } .

Results : Using empty field comparisons , we show that most of these fLSBs are probably inside the Coma cluster .
We present the results of comparing the projected fLSB distributions with the distributions of normal galaxies and with known X-ray over densities .
We also investigate their projected distribution relative to their location in the color magnitude relation .
Colors of fLSBs vary between B - R \sim 0.8 and \sim 1.4 for 2/3 of the sample and this part is consistent with the known CMR red-sequence for bright ( R \leq 18 ) ellipticals in Coma .

Conclusions : These fLSBs are likely to have followed the same evolution as giant ellipticals , which is consistent with a simple feedback/collapse formation and a passive evolution .
These fLSBs are mainly clustered around NGC 4889 .
We found two other distinct fLSB populations .
These populations have respectively redder and bluer colors compared to the giant elliptical red-sequence and possibly formed from stripped faint ellipticals and material stripped from spiral in-falling galaxies .