This article is cited in 8 papers

On the four-dimensional $T^2$-manifolds of positive Ricci curvature

Ya. V. Bazaikin, I. V. Matvienko

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences

Abstract: We prove that there is a $T^2$-invariant Riemannian metric of positive Ricci curvature on every four-dimensional simply connected $T^2$-manifold.

Keywords: Ricci curvature, quasitoric manifold.

UDC: 514.746.2

Received: 04.06.2007

 English version: Siberian Mathematical Journal, 2007, 48:5, 778–783

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