Electronic Journal of Differential Equations,
Vol. 2007(2007), No. 122, pp. 1-14.

Title: A geometric approach to integrability conditions
       for Riccati equations

Authors: Jose F. Carinena (Univ. de Zaragoza, Spain)
         Javier de Lucas  (Univ. de Zaragoza, Spain)
	 Arturo Ramos     (Univ. de Zaragoza, Spain)

Abstract: 
 Several instances of integrable  Riccati  equations are analyzed
 from the  geometric perspective of the theory of Lie systems.
 This provides us a unifying viewpoint for previous approaches.
 
Submitted May 15, 2007. Published September 21, 2007.
Math Subject Classifications: 34A26, 34A34, 34A05.
Key Words: Lie systems; Riccati equations; reduction methods; 
           integrability by quadratures.