Hyperheavenly spaces and their application in Walker and para-K\"ahler geometries: Part I
Mathematical Physics
2022-06-23 v3 math.MP
Abstract
Spaces equipped with congruences of null strings are considered. A special attention is paid to the spaces which belong to the two-sided Walker class and para-K\"ahler class. Properties of an intersection of self-dual and anti-self-dual congruences of null strings are used as an additional criterion for a classification of such spaces. Finally, a few examples of para-K\"ahler and para-K\"ahler-Einstein spaces are presented.
Keywords
Cite
@article{arxiv.2107.09093,
title = {Hyperheavenly spaces and their application in Walker and para-K\"ahler geometries: Part I},
author = {Adam Chudecki},
journal= {arXiv preprint arXiv:2107.09093},
year = {2022}
}
Comments
Minor changes have been provided