On the first eigenvalue of the Dirac operator on 6-dimensional manifolds
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Publication:1065444
DOI10.1007/BF00130480zbMath0577.58034MaRDI QIDQ1065444
Thomas Friedrich, Ralf Grunewald
Publication date: 1985
Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)
Differential geometry of homogeneous manifolds (53C30) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25)
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Unnamed Item, Real Killing spinors and holonomy, Killing spinors on Kähler manifolds, Geodesic lines on nearly Kähler \(\mathbb{S}^3 \times \mathbb{S}^3\), Eigenvalue estimates for Dirac operators in geometries with torsion, Killing spinors, twistor-spinors and Hijazi inequality, Geometry of warped product semi-slant submanifolds of nearly Kaehler manifolds, Twistorial eigenvalue estimates for generalized Dirac operators with torsion, Toric nearly Kähler manifolds, Complete Riemannian manifolds with imaginary Killing spinors, Six-dimensional Riemannian manifolds with a real Killing spinor, Odd-dimensional Riemannian manifolds with imaginary Killing spinors, Real hypersurfaces of the homogeneous nearly Kähler \(\mathbb{S}^3\times\mathbb{S}^3\) with \(\mathcal{P}\)-isotropic normal, Partially integrable almost complex structures, Eigenvalue pinching on \(\text{spin}^c\) manifolds, The Einstein condition on nearly Kähler six-manifolds, Complex generalized Killing spinors on Riemannian \(\mathrm{Spin}^c\) manifolds, Almost Hermitian 6-manifolds revisited, Kähler manifolds with small eigenvalues of the Dirac operator and a conjecture of Lichnerowicz, Bi-warped product submanifolds of nearly Kaehler manifolds, 7-dimensional compact Riemannian manifolds with Killing spinors, Cones of \(G\) manifolds and Killing spinors with skew torsion, Killing and twistor spinors with torsion
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