On congruences of Laguerre cycles and their envelopes
DOI10.1088/1361-6382/abb957zbMath1479.83013OpenAlexW3097115603MaRDI QIDQ5162418
Publication date: 2 November 2021
Published in: Classical and Quantum Gravity (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/1361-6382/abb957
Lorentzian geometryLaguerre geometryLegendre immersionsmarginally outer trapped submanifoldsoriented envelopes
Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Local submanifolds (53B25) Global surface theory (convex surfaces à la A. D. Aleksandrov) (53C45) Vector distributions (subbundles of the tangent bundles) (58A30) Homotopy spheres, Poincaré conjecture (57R60) Applications of differential geometry to data and computer science (53Z50)
Cites Work
- Marginally outer trapped surfaces in de Sitter space by low-dimensional geometries
- Dupin hypersurfaces
- Marginally trapped surfaces in Minkowski 4-space invariant under a rotation subgroup of the Lorentz group
- Applications of Laguerre geometry in CAGD
- Envelopes of circles and spacelike curves in the Lorentz-Minkowski 3-space
- Weierstrass-type representations
- Evolutes of plane curves and null curves in Minkowski 3-space
- Laguerre geometry of surfaces in \(\mathbb R^3\)
- Marginally trapped surfaces in Lorentzian space forms with positive relative nullity
- Boost invariant marginally trapped surfaces in Minkowski 4-space
- Surfaces in Laguerre geometry
- Lie sphere geometry. With applications to submanifolds
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