Killing and twistor spinors with torsion

DOI10.1007/s10455-015-9483-zzbMath1365.53049arXiv1509.08449OpenAlexW2232250512MaRDI QIDQ258022

Ioannis Chrysikos

Publication date: 17 March 2016

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.08449

zbMATH Keywords

parallel spinorcharacteristic connectionKilling spinor with torsiontwistor spinor

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Spin and Spin({}^c) geometry (53C27) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60)

Related Items (5)

Deformations of \(\text{G}_2\)-instantons on nearly \(\text{G}_2\) manifolds ⋮ A note on the volume of \(\nabla\)-Einstein manifolds with skew-torsion ⋮ Invariant connections and \(\nabla\)-Einstein structures on isotropy irreducible spaces ⋮ A new \(\frac{1}{2}\)-Ricci type formula on the spinor bundle and applications ⋮ Rarita-Schwinger fields on nearly Kähler manifolds

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Sp(3) structures on 14-dimensional manifolds
• Twistorial eigenvalue estimates for generalized Dirac operators with torsion
• Locally homogeneous nearly Kähler manifolds
• Spin manifolds, Killing spinors and universality of the Hijazi inequality
• 7-dimensional compact Riemannian manifolds with Killing spinors
• Spinorial description of \(\mathrm{SU}(3)\)- and \(\mathrm{G}_2\)-manifolds
• Six-dimensional Riemannian manifolds with a real Killing spinor
• The Dirac spectrum
• On the first eigenvalue of the Dirac operator on 6-dimensional manifolds
• Einstein manifolds of dimension five with small first eigenvalue of the Dirac operator
• Metrics with exceptional holonomy
• A local index theorem for non-Kähler manifolds
• On nearly parallel \(G_2\)-structures
• On the holonomy of connections with skew-symmetric torsion
• The Casimir operator of a metric connection with skew-symmetric torsion
• Parallel spinors and connections with skew-symmetric torsion in string theory.
• Connections on naturally reductive spaces, their Dirac operator and homogeneous models in string theory
• The Dirac operator on space forms of positive curvature
• Deformations of nearly parallel \(G_2\)-structures
• The Einstein-Dirac equation on Riemannian spin manifolds
• A cubic Dirac operator and the emergence of Euler number multiplets of representations for equal rank subgroups
• 3-Sasakian manifolds in dimension seven, their spinors and G\(_2\)-structures
• Cones of \(G\) manifolds and Killing spinors with skew torsion
• Real Killing spinors and holonomy
• The twistor space of a dimensional almost Hermitian manifold
• \(G_2\)-manifolds with parallel characteristic torsion
• The topology of contact Riemannian manifolds
• Harmonic spinors of the Dirac operator of connection with torsion in dimension four
• Vanishing theorems and string backgrounds
• Invariant connections with skew-torsion and $\nabla$-Einstein manifolds
• TRANSVERSAL KILLING AND TWISTOR SPINORS ASSOCIATED TO THE BASIC DIRAC OPERATORS
• The skew-torsion holonomy theorem and naturally reductive spaces
• EINSTEIN MANIFOLDS WITH SKEW TORSION
• Der erste Eigenwert des Dirac‐Operators einer kompakten, Riemannschen Mannigfaltigkeit nichtnegativer Skalarkrümmung
• A remark on the first eigenvalue of the Dirac operator on 4-dimensional manifolds
• Diffeomorphism type of the Berger space SO(5)/SO(3)
• Prolongations of Lie algebras and applications
• On the Ricci tensor in the common sector of type II string theory

This page was built for publication: Killing and twistor spinors with torsion