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3 papers
Singular 3-manifolds in
Pedro Benedini Riul, Maria Aparecida Soares Ruas, Andrea de Jesus Sacramento
We study 3-manifolds in with corank singularities. At the singular point we define the curvature locus using the first and second fundamental forms, which contai…
Curves in a spacelike hypersurface in the Minkowski space-time
Shyuichi Izumiya, Ana Claudia Nabarro, Andrea de Jesus Sacramento
Submanifolds in Lorentz-Minkowski space are investigated from various mathematical viewpoints and are of interest also in relativity theory. We define the hyperbolic surface and th…
Focal set of curves in the Minkowski space near lightlike points
Ana Claudia Nabarro, Andrea de Jesus Sacramento
We study the geometry of curves in the Minkowski space and in the de Sitter space, specially at points where the tangent direction is lightlike (i.e. has length zero) called lightl…