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The properties of the transversal Killing spinor and transversal twistor spinor for Riemannian foliations

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Abstract

We study the properties of the transversal Killing and twistorspinors for a Riemannian foliation with a transverse spinstructure. And we investigate the relations between them. As anapplication, we give a new lower bound for the eigenvalues of thebasic Dirac operator by using the transversal twistor operator.

참고문헌 (18)

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  17. "The basic Laplacian of aRiemannian foliation", 118, pp.1249~1275 (1996)
  18. "Foliations on Riemannian manifolds" (1988), Springer-Verlag

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