3 problems

Sharp spinor Sobolev constant conjecture. The sharp constant in the spinor Sobolev inequality is attained for these functions. Finding the optimal constants in the vector-field and…

Let the metric be flat and let a spinor field be written as … where $\zeta$ is slowly varying, meaning that its second derivatives can be neglected compared with its first derivati…

For a type-(4), or flag-dipole, spinor field, let $Z$ be its boomerang and write … where $s$ is a spacelike vector orthogonal to $\mathbf{J}$ and $h\neq 0$ is the real coefficient…