2 papers
math.FA2021
Algebraic structures in the family of non-Lebesgue measurable sets
Venuste Nyagahakwa, Gratien Haguma, Joseline Munyaneza
In the additive topological group of real numbers, we construct families of sets for which elements are not measurable in the Lebesgue sense. The constructed famil…
math-ph2021
Light-like parallel vector fields and Einstein equations of gravity
Isidore Mahara, Célestin Kurujyibwami, Venuste Nyagahakwa
We prove that, contrary to the situation with time-like and space-like parallel vector fields, there are real gravitational fields satisfying Einsteins equations of gravity and adm…