A Ricci-type flow on globally null manifolds and its gradient estimates
Date
2019-08
Authors
Hamed, Mohamed
Massamba, Fortune
Ssekajja, Samuel
Journal Title
Journal ISSN
Volume Title
Publisher
Strathmore University
Abstract
Locally, a screen integrable globally null manifold M splits through a Riemannian leaf SBS M'
of its screen distribution and a null curve 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-typeowin M' via the intrinsic Ricci tensor of M. Several new gradients estimates
regarding the how are proved.
Description
Paper presented at the 5th Strathmore International Mathematics Conference (SIMC 2019), 12 - 16 August 2019, Strathmore University, Nairobi, Kenya
Keywords
Screen integrable, Screen distribution, Null submanifolds, Ricci ow