Geodesic
Two new estimates for eigenvalues of Dirac operators
Wenmin Gong1 ; Guangcun Lu2
1 School of Mathematical Sciences Beijing Normal University 100875 Beijing, China
2 School of Mathematical Sciences Beijing Normal University Laboratory of Mathematics and Complex Systems Ministry of Education 100875 Beijing, China
Annales Polonici Mathematici, Tome 117 (2016) no. 2, pp. 109-126.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/ap3779-2-2016
Keywords: establish lower upper eigenvalue estimates dirac operators different settings kirchberg type estimate first eigenvalue dirac operator compact hler spin manifold terms energy momentum tensor upper bound smallest eigenvalues twisted dirac operator legendrian submanifolds sasakian manifolds sharpness those estimates discussed

Wenmin Gong 1 ; Guangcun Lu 2

1 School of Mathematical Sciences Beijing Normal University 100875 Beijing, China
2 School of Mathematical Sciences Beijing Normal University Laboratory of Mathematics and Complex Systems Ministry of Education 100875 Beijing, China 
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Wenmin Gong; Guangcun Lu. Two new estimates for eigenvalues of Dirac operators. Annales Polonici Mathematici, Tome 117 (2016) no. 2, pp. 109-126. doi : 10.4064/ap3779-2-2016. http://geodesic.mathdoc.fr/articles/10.4064/ap3779-2-2016/

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