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THE PROPERTIES OF THE TRANSVERSAL KILLING SPINOR AND TRANSVERSAL TWISTOR SPINOR FOR RIEMANNIAN FOLIATIONS

  • Jung, Seoung-Dal (Department of Mathematics Dheju National University) ;
  • Moon, Yeong-Bong (Department of Mathematics Dheju National University)
  • Published : 2005.11.01

Abstract

We study the properties of the transversal Killing and twistor spinors for a Riemannian foliation with a transverse spin structure. And we investigate the relations between them. As an application, we give a new lower bound for the eigenvalues of the basic Dirac operator by using the transversal twistor operator.

Keywords

transversal Dirac operator;transversal Killing spinor;transversal twistor spinor

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Cited by

  1. TRANSVERSAL KILLING AND TWISTOR SPINORS ASSOCIATED TO THE BASIC DIRAC OPERATORS vol.25, pp.08, 2013, https://doi.org/10.1142/S0129055X13300112