Survey on eigenvalues of the Dirac operator and geometric structures

2007/06/06 by Marcos Jardim, Jardim, Marcos, Leao, Rafael F.
Mathematics · #Algebraic and Geometric Analysis #Spectral Theory in Mathematical Physics #Geometric Analysis and Curvature Flows

paper · pdf · doi:10.48550/arxiv.0706.0883

Abstract

We give a survey of results relating the restricted holonomy of a Riemannian spin manifold with lower bounds on the spectrum of its Dirac operator, giving a new proof of a result originally due to Kirchberg.

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