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Two new estimates for eigenvalues of Dirac operators

Volume 117 / 2016

Wenmin Gong, Guangcun Lu Annales Polonici Mathematici 117 (2016), 109-126 MSC: Primary 53C27; Secondary 58J50, 83C60. DOI: 10.4064/ap3779-2-2016 Published online: 7 July 2016

Abstract

We establish lower and upper eigenvalue estimates for Dirac operators in different settings, a new Kirchberg type estimate for the first eigenvalue of the Dirac operator on a compact Kähler spin manifold in terms of the energy momentum tensor, and an upper bound for the smallest eigenvalues of the twisted Dirac operator on Legendrian submanifolds of Sasakian manifolds. The sharpness of those estimates is also discussed.

Authors

  • Wenmin GongSchool of Mathematical Sciences
    Beijing Normal University
    100875 Beijing, China
    e-mail
  • Guangcun LuSchool of Mathematical Sciences
    Beijing Normal University
    Laboratory of Mathematics
    and Complex Systems
    Ministry of Education
    100875 Beijing, China
    e-mail

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