New insights on marginally trapped surfaces: the hedgehog theory point of view
DOI10.1016/j.aam.2018.07.009zbMath1400.53016OpenAlexW2784978339MaRDI QIDQ1795499
Publication date: 16 October 2018
Published in: Advances in Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aam.2018.07.009
hedgehogsLaguerre geometrymarginally trapped surfacesBrunn-Minkowki theorycontact and co-contact conditions
Contact manifolds (general theory) (53D10) Mixed volumes and related topics in convex geometry (52A39) Non-Euclidean differential geometry (53A35) Variants of convex sets (star-shaped, ((m, n))-convex, etc.) (52A30) Local differential geometry of Lorentz metrics, indefinite metrics (53B30) Other special differential geometries (53A40)
Cites Work
- Fuchsian convex bodies: basics of Brunn-Minkowski theory
- Uniqueness results for the Minkowski problem extended to hedgehogs
- Derivation of convex surfaces of \(\mathbb R^3\) in Lorentz space and study of their focals
- Hedgehog theory via Euler calculus
- New geometric inequalities for hedgehogs
- Plane Lorentzian and Fuchsian Hedgehogs
- Gravitational Collapse and Space-Time Singularities
- Convex Bodies The Brunn-MinkowskiTheory
- Lie sphere geometry. With applications to submanifolds
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