1. Introduction  
2. The EROS-2 Survey  
2.1. Presentation of the EROS-2 Survey  
2.2. LMC Variable Stars in the EROS-2 Database  
2.3. EROS-2 Time Sampling of the LMC Observations  
2.4. Data Filtering  
3. Identification of LPVs  
3.1. The Abbe Test  
4. Period Search  
4.1. Methods  
4.2. Results  
4.3. Characterization of LPVs  
5. Main Properties of the Sample  
5.1. Infrared Properties  
5.2. Catalog  
5.3. Period-Magnitude Relations  
5.4. Period-Amplitude Relations  
6. Summary