We study SU(3)-structures induced on orientable hypersurfaces of sevendimensional manifolds with G2-structure. Taking Gray-Hervella types for both structures into account, we relate the type of SU(3)-structure and the type of G2-structure with the shape tensor of the hypersurface. Additionally, we show how to compute the intrinsic SU(3)-torsion and the intrinsic G2-torsion by means of exterior ...

We find explicit AdS4 solutions of massive type IIA with N = 2 supersymmetry obtained deforming with a Roman mass the type IIA supersymmetric reduction of the M theory background AdS4 ×M111. The family of solutions have SU(3) × SU(3) structure and isometry SU(3) × U(1)2. They are conjectured to be dual to three-dimensional N = 2 Chern-Simons theories with generic Chern-Simons couplings and gaug...

We study SU(3)-structures induced on orientable hypersurfaces of sevendimensional manifolds with G2-structure. Taking Gray-Hervella types for both structures into account, we relate the type of SU(3)-structure and the type of G2-structure with the shape tensor of the hypersurface. Additionally, we show how to compute the intrinsic SU(3)-torsion and the intrinsic G2-torsion by means of exterior ...

We study su cient conditions for Hamiltonian cycles in hypergraphs, and obtain both Turánand Dirac-type results. While the Turán-type result gives an exact threshold for the appearance of a Hamiltonian cycle in a hypergraph depending only on the extremal number of a certain path, the Dirac-type result yields a su cient condition relying solely on the minimum vertex degree.

In this paper, we first establish a new fixed point theorem for a Meir-Keeler type condition. As an application, we derive a simultaneous generalization of Banach contraction principle, Kannan's fixed point theorem, Chatterjea's fixed point theorem and other fixed point theorems. Some new fixed point theorems are also obtained.

In this paper, we consider a new type of Proinov contraction on the setting symmetrical abstract structure, more precisely, metric space. Our goal is to expand some results from literature using admissible mappings and concept E-contraction. The considered examples indicate validity obtained results.

In Drosophila, Notch and EGFR signalling pathways are closely intertwined. Their relationship is mostly antagonistic, and may in part be based on the phosphorylation of the Notch signal transducer Suppressor of Hairless [Su(H)] by MAPK. Su(H) is a transcription factor that together with several cofactors regulates the expression of Notch target genes. Here we address the consequences of a local...

In this paper we study the existence of common fixed point for r-compatible mapping satisfying a generalized quasi contraction condition integral type in modular spaces Our results extend and generalize Beygmohammadi Razani [4] Moradi [25].