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- Title
Homogeneous spin Riemannian manifolds with the simplest Dirac operator.
- Authors
Gadea, P. M.; González-Dávila, J. C.; Oubiña, J. A.
- Abstract
We show the existence of nonsymmetric homogeneous spin Riemannian manifolds whose Dirac operator is like that on a Riemannian symmetric spin space. Such manifolds are exactly the homogeneous spin Riemannian manifolds (M, g) which are traceless cyclic with respect to some quotient expression M = G/K and reductive decomposition 𝔤 = 𝔨 ⊕ 𝔪. Using transversally symmetric fibrations of noncompact type, we give a list of them.
- Subjects
HOMOGENEOUS spaces; RIEMANNIAN manifolds; DIRAC operators; NONSYMMETRIC matrices; MATHEMATICAL decomposition
- Publication
Advances in Geometry, 2018, Vol 18, Issue 3, p289
- ISSN
1615-715X
- Publication type
Article
- DOI
10.1515/advgeom-2018-0003