From Kirchberg's inequality to the Goldberg conjecture - Archive ouverte HAL Access content directly
Conference Papers Year : 2001

From Kirchberg's inequality to the Goldberg conjecture

Andrei Moroianu
  • Function : Author
  • PersonId : 828514

Abstract

The main result of this note is that a compact Kaehler manifold whose Ricci tensor has two distinct constant non-negative eigenvalues is locally the product of two Kaehler-Einstein manifolds. The problem of existence of Kaehler metrics whose Ricci tensor has two distinct constant eigenvalues is related to the limiting case of Kirchberg's inequality for the first eigenvalue of the Dirac operator on compact Kaehler manifolds, as well as to the celebrated (still open) conjecture of Goldberg.
Fichier principal
Vignette du fichier
2001bey.pdf (188.98 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-00126086 , version 1 (23-01-2007)

Identifiers

  • HAL Id : hal-00126086 , version 1

Cite

Andrei Moroianu. From Kirchberg's inequality to the Goldberg conjecture. Dirac operators: yesterday and today, 2001, Beirut, Lebanon. pp.283-292. ⟨hal-00126086⟩
145 View
155 Download

Share

Gmail Facebook Twitter LinkedIn More