Samuel Ssekajja

Dr. Samuel Ssekajja is a Lecturer in the School of Mathematics at the University of the Witwatersrand, Johannesburg, South Africa. He holds a PhD in Mathematics from the University of KwaZulu-Natal, Pietermaritzburg. His research focuses on differential geometry and mathematical relativity, particularly exploring the geometry of lightlike subspaces, null hypersurfaces in Lorentzian manifolds, and submanifolds in semi-Riemannian spaces. He has published extensively on topics such as mean curvature properties of submanifolds, generalized Raychaudhuri equations, and CR-lightlike geometries in indefinite manifolds.

Key research interests include

• Null hypersurface evolution via mean curvature
• Isoparametric null hypersurfaces
• Quasi-generalized CR-structures in indefinite manifolds
• Geometric analysis of SAC half-lightlike submanifolds

Dr. Ssekajja's work spans theoretical advancements in geometric analysis with applications to relativity, including studies on lightlike submanifolds' curvature properties and their implications in semi-Riemannian geometry. His publications demonstrate expertise in integrating differential geometry with mathematical physics concepts like gravitational collapse and geometric flows.