On geometry of congruences of null strings in 4-dimensional complex and real pseudo-Riemannian spaces

DOI10.1063/1.4994166zbMath1380.53033arXiv1610.02498OpenAlexW3105205897WikidataQ115333116 ScholiaQ115333116MaRDI QIDQ4599462

Adam Chudecki

Publication date: 2 January 2018

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.02498

zbMATH Keywords

congruencesintegrable distributionsnull stringstraceless Ricci tensorSD Weyl spinor

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Foliations (differential geometric aspects) (53C12) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Value distribution theory in higher dimensions (32H30)

Related Items (4)

Hyperheavenly spaces and their application in Walker and para-Kähler geometries. I ⋮ Hyperheavenly spaces and their application in Walker and para-Kähler geometries. II ⋮ Two-sided conformally recurrent self-dual spaces ⋮ On twisting type [N ⊗ [N] Ricci flat complex spacetimes with two homothetic symmetries]

Cites Work

• Unnamed Item
• The complex Goldberg-Sachs theorem in higher dimensions
• On some examples of para-Hermite and para-Kähler Einstein spaces with \(\Lambda \neq 0\)
• Sharp version of the Goldberg-Sachs theorem
• A spinor approach to general relativity
• Hermitian and Kählerian geometry in relativity
• Robinson manifolds as the Lorentzian analogs of Hermite manifolds.
• Solutions of the Rarita-Schwinger equation in Einstein spaces
• Real AlphaBeta-geometries and Walker geometry
• Twistor space for rolling bodies
• NOTES ON PARA-HERMITE–EINSTEIN SPACETIMES
• A Goldberg–Sachs theorem in dimension three
• Congruences of null strings in complex space-times and some Cauchy–Kovalevski-like problems
• Homogeneous para-Kähler Einstein manifolds
• From hyperheavenly spaces to Walker and Osserman spaces: I
• Null geodesic surfaces and Goldberg–Sachs theorem in complex Riemannian spaces
• Robinson manifolds and Cauchy–Riemann spaces
• The dancing metric, ${G}_2$-symmetry and projective rolling
• Curvature properties of four-dimensional Walker metrics
• An Introduction to General Relativity and Cosmology
• CANONICAL FORM FOR A RIEMANNIAN SPACE WITH A PARALLEL FIELD OF NULL PLANES

This page was built for publication: On geometry of congruences of null strings in 4-dimensional complex and real pseudo-Riemannian spaces