Bihermitian Gray surfaces

Włodzimierz Jelonek

Vol. 222 (2005), No. 1, 57–68

DOI: 10.2140/pjm.2005.222.57

Abstract

We give examples of bihermitian compact surfaces (M,g) whose Ricci tensor ρ satisfies ∇_Xρ(X,X) = Xτg(X,X). We construct one-parameter families of such metrics on all the Hirzebruch surfaces Σ_k, for k ≥ 0.

Keywords

bihermitian surfaces, Hirzebruch surfaces

Mathematical Subject Classification 2000

Primary: 53C07, 53C20

Milestones

Received: 23 May 2002

Revised: 8 April 2003

Accepted: 8 April 2003

Published: 1 November 2005