The twistor equation of Riemannian manifolds

DOI10.1016/0393-0440(90)90002-KzbMath0732.53030OpenAlexW2049775907WikidataQ115363146 ScholiaQ115363146MaRDI QIDQ808445

Katharina Habermann

Publication date: 1990

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0393-0440(90)90002-k

zbMATH Keywords

twistor spinors4-manifoldshyperbolic spaceEinstein manifoldwarped productsconformal deformationtwistor equation

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Spin and Spin({}^c) geometry (53C27) Twistor methods in differential geometry (53C28) Global Riemannian geometry, including pinching (53C20)

Related Items

Twistor spinors and their zeroes, Submaximal conformal symmetry superalgebras for Lorentzian manifolds of low dimension, The graded algebra and the derivative \(\overline {\mathcal L}\) of spinor fields related to the twistor equation, Supersymmetric Wilson loops in \(\mathcal{N} = 4\) SYM and pure spinors, Twistor spinors and extended conformal superalgebras, Twistorial eigenvalue estimates for generalized Dirac operators with torsion, The spinorial energy functional on surfaces, Twistor sections of Dirac bundles, Definite signature conformal holonomy: a complete classification, Supersymmetric Killing structures, Generalized symmetry superalgebras, Lorentzian twistor spinors and CR-geometry

Cites Work

• Spin manifolds, Killing spinors and universality of the Hijazi inequality
• Complete Riemannian manifolds with imaginary Killing spinors
• Einstein manifolds of dimension five with small first eigenvalue of the Dirac operator
• On the twistor-spinors
• Compact four-dimensional Einstein manifolds
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