A geometric flow on null hypersurfaces of Lorentzian manifolds
Abstract: We introduce a geometric flow on a screen integrable null hypersurface in terms of its local second fundamental form. We use it to give an alternative proof to the vorticity free Raychaudhuri’s equation for null hypersurface, as well as establishing conditions for the existence of constant mean curvature (CMC) null hypersurfaces, and leaves of constant scalar curvatures.
- Location
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Deutsche Nationalbibliothek Frankfurt am Main
- Extent
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Online-Ressource
- Language
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Englisch
- Bibliographic citation
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A geometric flow on null hypersurfaces of Lorentzian manifolds ; volume:10 ; number:1 ; year:2022 ; pages:185-195 ; extent:11
Topological algebra and its applications ; 10, Heft 1 (2022), 185-195 (gesamt 11)
- Creator
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Massamba, Fortuné
Ssekajja, Samuel
- DOI
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10.1515/taa-2022-0126
- URN
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urn:nbn:de:101:1-2022120913020791422217
- Rights
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
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15.08.2025, 7:22 AM CEST
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Associated
- Massamba, Fortuné
- Ssekajja, Samuel
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On the prescribed mean curvature flow of graphical hypersurfaces in certain globally hyperbolic Lorentzian manifolds with non-compact Cauchy hypersurfaces
Stochastic quantization on Lorentzian manifolds
Ricci Solitons on Riemannian Hypersurfaces Arising from Closed Conformal Vector Fields in Riemannian and Lorentzian Manifolds
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