Abstract 

On 2007 December 7, a small filament located in a small active region AR 10977 erupted and led to a B1.4 flare. An EIT wave associated with this eruption was observed both by SOHO/EIT and by EUVI on board STEREO. According to the observations from SOHO/LASCO and STEREO/COR A, we found that there was no CME associated with the EIT wave. This seems to challenge the argument that the cause of EIT waves is CME. However the data from STEREO/COR B indicated that there was a narrow CME associated with the EIT wave. This suggests that studying CMEs by investigating observations made in one direction alone may not be able to guarantee the reliability of the results.