Volume 35 • Number 2 • 2012   • Cohomology and Stability of Generalized Sasakian Space-Forms Maria Cîrnu Abstract. In this paper we study the geometry of distributions of semi-slant submanifolds of $(\alpha,\beta)$ trans-Sasakian manifolds, some problems concerning the stability of slant submanifolds of generalized Sasakian space-forms and we also investigate the first normal Chern class for integral submanifolds of $(\alpha,\beta)$ trans-Sasakian generalized Sasakian space-forms. 2010 Mathematics Subject Classification: 53C25, 53D15, 53C40. Full text: PDF