Neutral bi-Hermitian Gray surfaces

Details Neutral bi-Hermitian Gray surfaces Neutral bi-Hermitian Gray surfaces

2008-01-14

arxiv.org/abs/0801.2075v1

Topics in almost Hermitian geometry and related fields, World Scientific Publishing (2005)

Mathematics

Differential Geometry

12 pages

Scientific paper

The aim of this paper is to give examples of compact neutral 4-manifolds
$(M,g)$ whose Ricci tensor $\rho$ satisfies the relation $\nabla_X\rho(X,X)
=\frac13X\tau g(X,X)$. We present also a family of new Einstein bi-Hermitian
neutral metrics on ruled surfaces of genus $g>1$.

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