Two new estimates for eigenvalues of Dirac operators

• Autorzy: Wenmin Gong , Guangcun Lu
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 58J50: Spectral problems; spectral geometry; scattering theory
• 53C27: Spin and Spin c geometry
• 83C60: Spinor and twistor methods; Newman-Penrose formalism

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2016
• Tom: 117
• Numer: 2
• Strony: 109-126

Daty

wydano

2016

Twórcy

autor

Wenmin Gong

• School of Mathematical Sciences, Beijing Normal University, 100875 Beijing, China

autor

Guangcun Lu

• School of Mathematical Sciences, Beijing Normal University, Laboratory of Mathematics and Complex Systems, Ministry of Education, 100875 Beijing, China

Identyfikatory

DOI

10.4064/ap3779-2-2016