Microsoft Word - art_Andreea_Olteanu_RJM-CS_final

Recently, the author established a general inequality for doubly warped products in arbitrary Riemannian manifolds [14]. In the present paper, we obtain a similar inequality for doubly warped products isometrically immersed in S-space forms. As applications, we derive certain obstructions to the existence of minimal isometric immersions of doubly warped product integral submanifolds in S-space forms. Mathematics Subject Classification (2010): 53C40, 53C25.