Evolution of spacelike surfaces in anti-De Sitter space by their Lagrangian angle
Knut Smoczyk
TL;DR
This paper investigates how spacelike hypersurfaces in anti-De Sitter spacetime evolve over time when driven by their Gauß map's Lagrangian angle, revealing new geometric insights.
Contribution
It introduces a novel evolution process for spacelike hypersurfaces based on the Lagrangian angle of Gauß maps in anti-De Sitter space.
Findings
Characterization of the evolution process
Identification of geometric invariants during evolution
Potential applications to spacetime geometry
Abstract
We study spacelike hypersurfaces in anti-De Sitter spacetime that evolve by the Lagrangian angle of their Gau\ss\ maps.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Black Holes and Theoretical Physics · Geometry and complex manifolds