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On the four-dimensional T2-manifolds of positive Ricci curvature

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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.

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Authors and Affiliations

  1. Sobolev Institute of Mathematics, Novosibirsk, Russia

    Ya. V. Bazaikin & I. V. Matvienko

Authors
  1. Ya. V. Bazaikin
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  2. I. V. Matvienko
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Correspondence to Ya. V. Bazaikin.

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__________

Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 48, No. 5, pp. 973–979, September–October, 2007.

Original Russian Text Copyright © 2007 Bazaĭkin Ya. V. and Matvienko I. V.

The authors were supported by the Russian Foundation for Basic Research (Grant 06-01-0094 a) and the Integration Grant of the Siberian Division of the Russian Academy of Sciences (No. 1.1); the first author was also supported by a grant of the President of the Russian Federation (Grant MK-8712.2006.1).

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Bazaikin, Y.V., Matvienko, I.V. On the four-dimensional T2-manifolds of positive Ricci curvature. Sib Math J 48, 778–783 (2007). https://doi.org/10.1007/s11202-007-0080-7

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  • DOI: https://doi.org/10.1007/s11202-007-0080-7

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