The splitting theorem for space-times with strong energy condition

Fixed point theorem for mappings satisfying contractive condition of integral type on intuitionistic fuzzy metric space

In this paper, we shall establish some fixed point theorems for mappings with the contractive  condition of integrable type on complete intuitionistic fuzzy metric spaces $(X, M,N,*,lozenge)$. We also use Lebesgue-integrable mapping to obtain new results. Akram, Zafar, and Siddiqui introduced the notion of $A$-contraction mapping on metric space. In this paper by using the main idea of the work...

A Fundamental Theorem of Space-times

The fundamental theorem of submanifolds is adapted to spacetimes. It is shown that the integrability conditions for the existence of submanifolds of a pseudo-Euclidean space contain the Einstein and Yang-Mills equations. preprint UnB/MAT/FM-M495 pacs 02.40 =m, 04.20.Cv, 11.10.Kk

A Splitting Theorem for Isoparametric Submanifolds in Hilbert Space

Strong energy condition in R+R2 gravity.

In this paper, we study Raychaudhuri's equation in the background of R + βR 2 gravity with a phenomenological matter (ρ ∝ a(t) −n). We conclude that even though the Strong Energy Condition (S.E.C.) for Einstein's gravity, which guarantees singularity, is n ≥ 2 for ρ ∝ a(t) −n , a perturbative analysis of Raychaudhuri's equation in the background of R+βR 2 gravity reveals that the big bang singu...

The Splitting Theorem for Orbifolds