Sentence examples for spin manifold from inspiring English sources
The main result of this paper is a vanishing theorem for the index of the Dirac operator on an open spin manifold for which the scalar curvature κ(x) tends to infinity as x tends to infinity.
We formulate a quantum group analogue of the group of orientation-preserving Riemannian isometries of a compact Riemannian spin manifold, more generally, of a (possibly R-twisted and of compact type) spectral triple.
We show that the Dirac operator on a spin manifold does not admit L2 eigenspinors provided the metric has a certain asymptotic behaviour and is a warped product near infinity.
In this paper we define and study certain von Neumann algebra invariants associated to the Dirac operator acting onL2spinors on the universal covering space of a compact, Riemannian spin manifold.
Cross peaks were also observed at (νdq, ν+) ∼ (4, 1.6) MHz and (νdq, ν–,0) ∼ (4, 0.8) MHz due to electron-nuclear coupling with the distal 14Nτ nucleus of equatorially coordinated His, where the ν0,− and ν+ frequencies derive from transitions within the α electron spin manifold and νdq derives from the β manifold [46].
At high pH, all center II forms convert to a quasi-isotropic system, with g-values around 4.3 due to the | S = ±3/2⟩ middle Kramer doublet of the S = 5/2 spin manifold, and a minor intensity resonance at g ≈ 9.2 due to the | S = ±1/2⟩ doublet.
We consider compact Riemannian spin manifolds without boundary equipped with orthogonal connections.
We establish an index theorem for Toeplitz operators on odd-dimensional spin manifolds with boundary.
In this paper, we classify all systems of this type which are elliptic; the answer is valid for all Riemannian or (if spin structure enters) Riemannian spin manifolds.
We extend the isospectral deformations of Connes, Landi and Dubois-Violette to the case of Riemannian spin manifolds carrying a proper action of the noncompact abelian group Rl.
Therefore quantum double suspending compact Riemannian spin manifolds iteratively we get many examples of regular spectral triples with finite simple dimension spectrum.
