The authors give the first explicit constructions of coupled Dirac-Yang-Mills pairs on closed Riemannian spin manifolds via spherical symmetry on 3-manifolds and their products.
The spinor bundle of Riemannian products
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abstract
In this note we compare the spinor bundle of a Riemannian manifold $(M=M_1\times...\times M_N,g)$ with the spinor bundles of the Riemannian factors $(M_i,g_i)$. We show, that - without any holonomy conditions - the spinor bundle of $(M,g)$ for a special class of metrics is isomorphic to a bundle obtained by tensoring the spinor bundles of $(M_i,g_i)$ in an appropriate way.
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math.DG 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
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Spherically symmetric Dirac-Yang-Mills pairs on Riemannian manifolds
The authors give the first explicit constructions of coupled Dirac-Yang-Mills pairs on closed Riemannian spin manifolds via spherical symmetry on 3-manifolds and their products.