SUBMANIFOLDS OF GENERALIZED SASAKIAN SPACE FORMS

Pablo Alegre, Alfonso Carriazo
2009 Taiwanese journal of mathematics  
In the present paper submanifolds of generalized Sasakian-spaceforms are studied. We focus on almost semi-invariant submanifolds, these generalize invariant, anti-invariant, and slant submanifolds. Sectional curvatures, Ricci tensor and scalar curvature are also studied. The paper finishes with some results about totally umbilical submanifolds.
doi:10.11650/twjm/1500405448 fatcat:ibcatxtcdbaqjdjvminsdgphmm