Abstract We prove that complete non-aspherical quaternionic Kähler manifolds with an end of finite volume exist in all dimensions $4m\ge 4$. These are not locally homogeneous and, particular, symmetric.
Robert KrausJ. M. D. CoeyJeffrey N. AnkerCaleb BehrendRaoul Kopelman
Aspherical magnetic particles orient in a magnetic field due to magnetic shape anisotropy. They also emit different fluxes of light from their different geometric faces due to self-absorption and total internal reflection within the particles. The particles rotate in response to rotating magnetic fields and appear to blink as they rotate. We have made pancake and chain shaped particles and magn...
The article describes the method of calculating optical parameters second, aspherical lens based on known first spherical in a two-lens collimating system. allows to write parametric equation aspheric profile an explicit form.
Journal:
:Proceedings of the American Mathematical Society2021
We prove that a topological space is aspherical if and only it satisfies Bökstedt-Neeman theorem, i.e., the derived category of complexes locally constant sheaves equivalent to with cohomology.
