Singular points of lightlike hypersurfaces of the de Sitter space
Maks A. Akivis, Vladislav V. Goldberg
TL;DR
This paper investigates the singular points of lightlike hypersurfaces in de Sitter space and develops invariant geometric tools for their analysis.
Contribution
It introduces an invariant normalization and affine connection for lightlike hypersurfaces in de Sitter space, advancing geometric understanding.
Findings
Characterization of singular points in lightlike hypersurfaces
Construction of invariant normalization for these hypersurfaces
Development of an invariant affine connection
Abstract
The authors study singular points of lightlike hypersurfaces of the de Sitter space S^{n+1}_1 and the geometry of hypersurfaces and use them for construction of an invariant normalization and an invariant affine connection of lightlike hypersurfaces.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Geometry and complex manifolds · Advanced Differential Geometry Research