A Ricci-type flow on globally null manifolds and its gradient estimates

• M.H.A. Hamed ^[1] ; F. Massamba ^[1] ; S. Ssekajja ^[1]
  1. [1] University of KwaZulu-Natal

     University of KwaZulu-Natal

     Ethekwini, Sudáfrica

     
• Localización: Revista de la Unión Matemática Argentina, ISSN 0041-6932, ISSN-e 1669-9637, Vol. 62, Nº. 2, 2021, págs. 327-349
• Idioma: inglés
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• Resumen

  • Locally, a screen integrable globally null manifold M splits through a Riemannian leaf M0 of its screen distribution and a null curve C tangent to its radical distribution. The leaf M0 carries a lot of geometric information about M and, in fact, forms a basis for the study of expanding and nonexpanding horizons in black hole theory. In the present paper, we introduce a degenerate Ricci-type flow in M0 via the intrinsic Ricci tensor of M. Several new gradient estimates regarding the flow are proved.