Harmonic spinors on the Davis hyperbolic 4-manifold
نویسندگان
چکیده
منابع مشابه
A Hyperbolic 4-Manifold
There is a regular 4-dimensional polyhedron with 120 dodecahedra as 3-dimensional faces. (Coxeter calls it the "120-cell".) The group of symmetries of this polyhedron is the Coxeter group with diagram: For each pair of opposite 3-dimensional faces of this polyhedron there is a unique reflection in its symmetry group which interchanges them. The result of identifying opposite faces by these refl...
متن کاملHarmonic Spinors on Homogeneous Spaces
Let G be a compact, semi-simple Lie group and H a maximal rank reductive subgroup. The irreducible representations of G can be constructed as spaces of harmonic spinors with respect to a Dirac operator on the homogeneous space G/H twisted by bundles associated to the irreducible, possibly projective, representations of H. Here, we give a quick proof of this result, computing the index and kerne...
متن کاملSpinors in the hyperbolic algebra
The three-dimensional universal complex Clifford algebra C̄3,0 is used to represent relativistic vectors in terms of paravectors. In analogy to the Hestenes spacetime approach spinors are introduced in an algebraic form. This removes the dependance on an explicit matrix representation of the algebra. PACS: 03.65.Fd; 02.10.De; 11.30.Cp; 02.10.Hh; 02.20.Qs MSC: 81R25; 15A66; 30G35; 15A33; 20H25
متن کاملAlmost harmonic spinors
We show that any closed spin manifold not diffeomorphic to the two-sphere admits a sequence of volume-one-Riemannian metrics for which the smallest non-zero Dirac eigenvalue tends to zero. As an application, we compare the Dirac spectrum with the conformal volume. Spineurs presque harmoniques Résumé. Nous montrons que, sur toute variété spinorielle compacte sans bord non difféomorphe à la sphèr...
متن کاملOn the stability of Riemannian manifold with parallel spinors
Inspired by the recent work [HHM03], we prove two stability results for compact Riemannian manifolds with nonzero parallel spinors. Our first result says that Ricci flat metrics which also admit nonzero parallel spinors are stable (in the direction of changes in conformal structures) as the critical points of the total scalar curvature functional. Our second result, which is a local version of ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Topology and Analysis
سال: 2019
ISSN: 1793-5253,1793-7167
DOI: 10.1142/s1793525320500247