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Homogeneous spin Riemannian manifolds with the simplest Dirac operator

Homogeneous spin Riemannian manifolds with the simplest Dirac operator AbstractWe 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Advances in Geometry de Gruyter

Homogeneous spin Riemannian manifolds with the simplest Dirac operator

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Publisher
de Gruyter
Copyright
© 2018 Walter de Gruyter GmbH Berlin/Boston
ISSN
1615-7168
eISSN
1615-7168
DOI
10.1515/advgeom-2018-0003
Publisher site
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Abstract

AbstractWe 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.

Journal

Advances in Geometry – de Gruyter

Published: Jul 26, 2018

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