Hyperheavenly spaces and their application in Walker and para-Kähler geometries: part II

Abstract

4-dimensional spaces equipped with congruences of null strings are considered. It is assumed that a space admits a congruence of expanding self-dual null strings and its self-dual part of the Weyl tensor is algebraically degenerate. Different Petrov-Penrose types of such spaces are analyzed. A special attention is paid to para-Kähler Einstein spaces. All para-Kähler Einstein metrics of spaces with algebraically degenerate self-dual Weyl spinor are found in all the generality.

References in corpus (9)

• Twistor space for rolling bodies
• A spinor approach to Walker geometry
• Real AlphaBeta-Geometries
• Algebraically Special, Real Alpha Geometries
• On some examples of para-Hermite and para-Kähler Einstein spaces with $\Lambda \ne 0$
• Para-Kähler-Einstein 4-manifolds and non-integrable twistor distributions
• On geometry of congruences of null strings in 4-dimensional complex and real pseudo-Riemannian spaces
• Classification of the traceless Ricci tensor in 4-dimensional pseudo-Riemannian spaces of neutral signature
• Hyperheavenly spaces and their application in Walker and para-Kähler geometries: Part I

Cited by in corpus (1)

• On Walker and para-Hermite Einstein spaces