Inspired by Gromov's work on 'Metric inequalities with scalar curvature' we establish band width for Riemannian bands of the form $(V=M\times[0,1],g)$, where $M^{n-1}$ is a closed manifold. We introduce new class orientable manifolds call filling enlargeable and prove: If $M$ all unit balls in universal cover $(V,g)$ have volume less than constant $\frac{1}{2}\varepsilon_n$, then $width(V,g)\le...

We describe a new family of 3-dimensional bodies constant width that we have called peabodies, obtained from the Reuleaux tetrahedron by replacing small neighborhood all six edges with sections an envelope spheres. This contains, in particular, two Meissner solids and body tetrahedral symmetry Robert’s body. Behind construction this lies classical notion confocal quadrics discussed, for example...

in order to study the gene actions and heritability of the physical and chemical characteristics associated with appearance and cooking quality of rice grain, generation mean analysis was performed using a cross between two iranian rice cultivars, deylamani and sepidroud, having different quality characters. seeds of the parental lines and f1, f2, bc1 and bc2 generations were grown in randomize...