On Kirchberg's inequality for compact Kähler manifolds of even complex dimension

DOI10.1023/A:1006543304443zbMath0890.53058MaRDI QIDQ1361045

Andrei Moroianu

Publication date: 25 June 1998

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

zbMATH Keywords

Dirac operatoreigenvalue estimatesKirchberg's inequality

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60)

Related Items

A SPLITTING THEOREM FOR KÄHLER MANIFOLDS WHOSE RICCI TENSORS HAVE CONSTANT EIGENVALUES, Kählerian twistor spinors, Invariant Dirac operators, harmonic spinors, and vanishing theorems in CR geometry, Spin\(^{c}\) geometry of Kähler manifolds and the Hodge Laplacian on minimal Lagrangian sub\-manifolds, Kähler manifolds with small eigenvalues of the Dirac operator and a conjecture of Lichnerowicz