Characterization of null cones under a Ricci curvature condition
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Publication:2069932
DOI10.1016/j.jmaa.2021.125906zbMath1486.53025OpenAlexW4200194039MaRDI QIDQ2069932
Manuel Gutiérrez, Benjamin Olea
Publication date: 21 January 2022
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2021.125906
Local submanifolds (53B25) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)
Related Items (3)
Statistical structures arising in null submanifolds ⋮ A curvature inequality characterizing totally geodesic null hypersurfaces ⋮ On the regularity of null cones and geodesic spheres
Cites Work
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- On null submanifolds in spacetimes
- Totally umbilic null hypersurfaces in generalized Robertson-Walker spaces
- Injectivity radius of Lorentzian manifolds
- On some methods of construction of invariant normalizations of lightlike hypersurfaces
- Maximum principles for null hypersurfaces and null splitting theorems
- Canonical variation of a Lorentzian metric
- Lower bound of null injectivity radius without curvature assumptions in a family of null cones
- Conditions on a null hypersurface of a Lorentzian manifold to be a null cone
- Definition and stability of Lorentzian manifolds with distributional curvature
- Lightlike hypersurfaces of Lorentzian manifolds with distinguished screen
- Induced Riemannian structures on null hypersurfaces
- The Ambient Metric (AM-178)
- Geometry of general hypersurfaces in spacetime: junction conditions
- A Berger-Green type inequality for compact Lorentzian manifolds
- On the radius of injectivity of null hypersurfaces
- Completeness of Compact Lorentz Manifolds Admitting a Timelike Conformal Killing Vector Field
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