Einstein manifolds of dimension five with small first eigenvalue of the Dirac operator
From MaRDI portal
Publication:1096191
DOI10.4310/jdg/1214442874zbMath0633.53069OpenAlexW1504627831WikidataQ115182827 ScholiaQ115182827MaRDI QIDQ1096191
Publication date: 1989
Published in: Journal of Differential Geometry (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4310/jdg/1214442874
Dirac operatorfirst eigenvalueKilling spinorspositive scalar curvatureEinstein spacescompact Einstein spin manifoldEinstein- Sasaki 5-manifolds
Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60)
Related Items
Unnamed Item, ON SASAKIAN–EINSTEIN GEOMETRY, Rigid supersymmetry on 5-dimensional Riemannian manifolds and contact geometry, Real Killing spinors and holonomy, Nearly Sasakian geometry and \(\mathrm{SU}(2)\)-structures, Calabi-Yau cones from contact reduction, Toric geometry, Sasaki-Einstein manifolds and a new infinite class of AdS/CFT duals, Deformations of \(\text{G}_2\)-instantons on nearly \(\text{G}_2\) manifolds, A generalization of the notion of instanton, The geometric dual of \(a\)-maximisation for toric Sasaki-Einstein manifolds, Review of localization for 5d supersymmetric gauge theories, \( \mathcal{N}=2 \) supersymmetric gauge theory on connected sums of \(S^{2} \times S^2\), Homogeneous Sasakian and 3-Sasakian structures from the spinorial viewpoint, New Einstein metrics on \(8\#(S^{2}\times S^{3})\)., Complete Riemannian manifolds with imaginary Killing spinors, Stability of Riemannian manifolds with Killing spinors, SU(3) structures on \(S^{2}\) bundles over four-manifolds, Six-dimensional Riemannian manifolds with a real Killing spinor, Book review of: J.-P. Bourguignon et al., A spinorial approach to Riemannian and conformal geometry, Odd-dimensional Riemannian manifolds with imaginary Killing spinors, Type IIB supergravity on squashed Sasaki-Einstein manifolds, The Einstein-Dirac equation on Riemannian spin manifolds, Eigenvalue pinching on \(\text{spin}^c\) manifolds, The Killing spinor equation with higher order potentials, Cohomogeneity one Einstein-Sasaki 5-manifolds, Non-symmetric Riemannian gravity and Sasaki–Einstein 5-manifolds, 5d Higgs branch localization, Seiberg-Witten equations and contact geometry, Complex generalized Killing spinors on Riemannian \(\mathrm{Spin}^c\) manifolds, Spaces admitting homogeneous \(G_{2}\)-structures, Generalized Killing spinors in dimension 5, The Casimir operator of a metric connection with skew-symmetric torsion, Simply connected Sasaki-Einstein rational homology 5-spheres, 5D super Yang-Mills on \(Y^{p,q}\) Sasaki-Einstein manifolds, Torsion of \(SU(2)\)-structures and Ricci curvature in dimension 5, Kähler manifolds with small eigenvalues of the Dirac operator and a conjecture of Lichnerowicz, Complete noncompact \(\mathrm{G}_2\)-manifolds from asymptotically conical Calabi-Yau 3-folds, 7-dimensional compact Riemannian manifolds with Killing spinors, A lift of the Seiberg–Witten equations to Kaluza–Klein five-manifolds, Five-dimensional cohomological localization and squashed \(q\)-deformations of two-dimensional Yang-Mills theory, An estimate for the first eigenvalue of the Dirac operator on compact Riemannian spin manifold admitting parallel one-form, The twistor equation of Riemannian manifolds, Cones of \(G\) manifolds and Killing spinors with skew torsion, Killing and twistor spinors with torsion
