In this paper we study Almost-Riemannian Structures (ARS) on the class of nonnilpotent, solvable, conneted 3D Lie groups. The nice structures present in such groups allow us to show that singular locus ARSs are always embedded submanifolds.

We review the construction of almost contact metric (three-) structures on manifolds with a $G_2$ structure. These are interest for certain supersymmetric configurations in string and M-theory. compute torsion SU(3) structure associated to an ACMS apply these computations heterotic systems supersymmetry enhancement. initiate study space ACM3Ss, which is infinite dimensional local product intere...

Abstract We study the Kodaira dimension of a real parallelizable manifold M , with an almost complex structure J in standard form respect to given parallelism. For $$X = (M, J)$$ X = ( M , J ) </mm...

we study interior operators and interior structures in a fuzzy setting.we investigate systems of “almost open” fuzzy sets and the relationshipsto fuzzy interior operators and fuzzy interior systems.