Two-sided conformally recurrent self-dual spaces
arXiv:2003.09684 · doi:10.1016/j.geomphys.2020.103933
Abstract
Two-sided conformally recurrent 4-dimensional self-dual spaces are considered. It is shown that such spaces are equipped with nonexpanding congruences of null strings. The general structure of weak nonexpanding hyperheavenly spaces is given. Finally, the general metrics of Petrov-Penrose type spaces are presented.