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Article overview
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A Ricci-type flow on globally null manifolds and its gradient estimates | Mohamed H. A. Hamed
; Fortuné Massamba
; Samuel Ssekajja
; | Date: |
1 Aug 2019 | Abstract: | Locally, a screen integrable globally null manifold $M$ splits through a
Riemannian leaf $M’$ of its screen distribution and a null curve $mathcal{C}$
tangent to its radical distribution. The leaf $M’$ carries a lot of geometric
information about $M$ and, in fact, forms a basis for the study of expanding
and non-expanding horizons in black hole theory. In the present paper, we
introduce a Ricci-type flow in $M’$ via the intrinsic Ricci tensor of $M$.
Several new gradient estimates regarding the flow are proved. | Source: | arXiv, 1908.0263 | Services: | Forum | Review | PDF | Favorites |
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