Two new estimates for eigenvalues of Dirac operators
Volume 117 / 2016
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.
