Only two examples of extremally Ricci pinched G2-structures can be found in the literature and they are both homogeneous. We study this paper existence structure such very special closed on Lie groups. Strong structural conditions algebra proved to hold. As an application, we obtain three new that all necessarily steady Laplacian solitons. The deformation rigidity structures also studied.

We prove that a quasi-isometric map, and more generally coarse embedding, between pinched Hadamard manifolds is within bounded distance from unique harmonic map.

QCD finite energy sum rules, together with the latest updated ALEPH data on hadronic decays of the tau-lepton are used in order to determine the vacuum condensates of dimension d = 2 and d = 4. These data are also used to check the validity of the Weinberg sum rules, and to determine the chiral condensates of dimension d = 6 and d = 8, as well as the chiral correlator at zero momentum, proporti...

Summary One-year experiments conducted with one hemp variety were established to determinate the cultivation practices (growth density and pinching) which could be used optimize technological process of varieties production for different purposes. The results showed that reduced crop pinching result in development shorter plants. In denser non-pinched crops, stem is over 180 cm high, while plan...

A bstract Using the spectral functions measured in ? decays, we investigate actual numerical impact of duality violations on extraction strong coupling. These effects are tiny standard ? s ( $$ {m}_{\tau}^2 m ? 2 ) determinations from integrated d...