Remarques sur les spineurs de Killing transversaux
Nicolas Ginoux, Georges Habib (MPI-MIS)
TL;DR
This paper investigates the conditions under which transversal Killing spinors can exist on spin manifolds with Riemannian flows, providing necessary criteria for their presence.
Contribution
It establishes necessary conditions for the existence of transversal Killing spinors on such manifolds, advancing understanding of their geometric structure.
Findings
Identifies necessary conditions for transversal Killing spinors
Provides insights into the geometric constraints of Riemannian flows
Contributes to the theory of spin geometry and Killing spinors
Abstract
We show necessary conditions for the existence of transversal Killing spinors on a spin manifold endowed with a Riemannian flow.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Homotopy and Cohomology in Algebraic Topology · Quantum chaos and dynamical systems