Dirac eigenvalues estimates in terms of symmetric tensors

2009/09/08 by Eui Chul Kim, Kim, Eui Chul
Mathematics · #53C25 #53C27 #Differential Geometry (math.DG) #FOS: Mathematics #math.DG #msc:53C25 #msc:53C27

paper · pdf · doi:10.48550/arxiv.0909.1417

7 pages, 2009 NIMS Workshop Differential Geometry and Related Topics

arxiv created 2009/09/08 · arxiv updated 2009/12/01

Abstract

We review some recent results concerning lower eigenvalues estimates for the Dirac operator [6, 7]. We show that Friedrich's inequality can be improved via certain well-chosen symmetric tensors and provide an application to Sasakian spin manifolds.

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