Locally, a screen integrable globally null manifold $M$ splits through Riemannian leaf $M'$ of its distribution and curve $\mathcal{C}$ tangent to radical distribution. The carries lot geometric information about and, in fact, forms basis for the study expanding non-expanding horizons black hole theory. In present paper, we introduce degenerate Ricci-type flow via intrinsic Ricci tensor $M$. Se...

In this paper we discuss curvature tensors in the context of Absolute Parallelism geometry. Different curvature tensors are expressed in a compact form in terms of the torsion tensor of the canonical connection. Using the Bianchi identities some other identities are derived from the expressions obtained. These identities, in turn, are used to reveal some of the properties satisfied by an intrig...

Let us define a curvature invariant of the order k as a scalar polynomial constructed from gαβ, the Riemann tensor Rαβγδ, and covariant derivatives of the Riemann tensor up to the order k. According to this definition, the Ricci curvature scalar R or the Kretschmann curvature scalar RαβγδR αβγδ are curvature invariants of the order zero and Rαβγδ;εR αβγδ;ε is a curvature invariant of the order ...