The volume of conformally flat manifolds as hypersurfaces in the light-cone

DOI10.1016/j.difgeo.2024.102173MaRDI QIDQ6614924

Riku Kishida

Publication date: 8 October 2024

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

zbMATH Keywords

null hypersurfacesconformally flat manifolds

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global submanifolds (53C40) Conformal structures on manifolds (53C18)

Cites Work

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• Null hypersurfaces in Lorentzian manifolds with the null energy condition
• Hypersurfaces in \(\mathbb H^{n+1}\) and conformally invariant equations: the generalized Christoffel and Nirenberg problems
• Hypersurfaces in lightlike cone
• Curvature estimates for stable marginally trapped surfaces
• Minimizing area among Lagrangian surfaces: the mapping problem.
• The lightlike geometry of marginally trapped surfaces in Minkowski space-time
• The duality of conformally flat manifolds
• Conformally Flat Riemannian Manifolds as Hypersurfaces of the Light Cone

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