Killing spinor-valued forms and the cone construction
Copyright policy )Killing spinor-valued forms and the cone construction
On a pseudo-Riemannian manifold $\mathcal{M}$ we introduce a system of partial differential Killing type equations for spinor-valued differential forms, and study their basic properties. We discuss the relationship between solutions of Killing equations on $\mathcal{M}$ and parallel fields on the metric cone over $\mathcal{M}$ for spinor-valued forms.
Mathematics - Differential Geometry, Spin and Spin\({}^c\) geometry, FOS: Physical sciences, Mathematical Physics (math-ph), spinor-valued differential forms, Killing-type equations, Mathematics - Analysis of PDEs, PDEs on manifolds, Differential Geometry (math.DG), cone construction, General geometric structures on manifolds (almost complex, almost product structures, etc.), FOS: Mathematics, pseudo-Riemannian spin manifolds, Representation Theory (math.RT), Spinor and twistor methods applied to problems in quantum theory, Mathematical Physics, Mathematics - Representation Theory, Analysis of PDEs (math.AP)
Mathematics - Differential Geometry, Spin and Spin\({}^c\) geometry, FOS: Physical sciences, Mathematical Physics (math-ph), spinor-valued differential forms, Killing-type equations, Mathematics - Analysis of PDEs, PDEs on manifolds, Differential Geometry (math.DG), cone construction, General geometric structures on manifolds (almost complex, almost product structures, etc.), FOS: Mathematics, pseudo-Riemannian spin manifolds, Representation Theory (math.RT), Spinor and twistor methods applied to problems in quantum theory, Mathematical Physics, Mathematics - Representation Theory, Analysis of PDEs (math.AP)
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