We establish a new algebraic characterization of sectional curvature bounds $\sec\geq k$ and $\sec\leq using only terms in the Weitzenb\"ock formulae for symmetric $p$-tensors. By introducing analogue Kulkarni-Nomizu product, we provide simple formula such terms. also give an application Bochner technique to closed $4$-manifolds with indefinite intersection form $\sec>0$ or $\sec\geq0$, obtaini...

The Cnidaria phylum includes organisms that are among the most venomous animals. The Anthozoa class includes sea anemones, hard corals, soft corals and sea pens. The composition of cnidarian venoms is not known in detail, but they appear to contain a variety of compounds. Currently around 250 of those compounds have been identified (peptides, proteins, enzymes and proteinase inhibitors) and non...