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Eigenvalues of the Dirac Operator on Manifolds¶with Boundary

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Abstract:

Under standard local boundary conditions or certain global APS boundary conditions, we get lower bounds for the eigenvalues of the Dirac operator on compact spin manifolds with boundary. For the local boundary conditions, limiting cases are characterized by the existence of real Killing spinors and the minimality of the boundary.

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Authors and Affiliations

  1. Institut Élie Cartan, Université Henri Poincaré, Nancy I, B.P. 239, 54506 Vandœuvre-Lès-Nancy Cedex, France. E-mail: hijazi@iecn.u-nancy.fr, , , , , , FR

    Oussama Hijazi

  2. Departamento de Geometría y Topología, Universidad de Granada, 18071 Granada, Spain.¶E-mail: smontiel@goliat.ugr.es, , , , , , ES

    Sebastián Montiel

  3. Institute of Mathematics, Academy of Mathematics and Systems Sciences, Chinese Academy of Sciences, Beijing 100080, P.R. China. E-mail: xzhang@math08.math.ac.cn, , , , , , CN

    Xiao Zhang

Authors
  1. Oussama Hijazi
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  2. Sebastián Montiel
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  3. Xiao Zhang
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Received: 22 August 2000 / Accepted: 15 March 2001

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Hijazi, O., Montiel, S. & Zhang, X. Eigenvalues of the Dirac Operator on Manifolds¶with Boundary. Commun. Math. Phys. 221, 255–265 (2001). https://doi.org/10.1007/s002200100475

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  • DOI: https://doi.org/10.1007/s002200100475

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