Non-negative Ricci curvature on closed manifolds under Ricci flow

• Autores: Davi Máximo
• Localización: Proceedings of the American Mathematical Society, ISSN 0002-9939, Vol. 139, Nº 2, 2011, págs. 675-685
• Idioma: inglés
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• Resumen

  • In this short paper we show that non-negative Ricci curvature is not preserved under Ricci flow for closed manifolds of dimensions four and above, strengthening a previous result of Knopf for complete non-compact manifolds of bounded curvature. This brings down to four dimensions a similar result Böhm and Wilking have for dimensions twelve and above. Moreover, the manifolds constructed here are manifolds and relate to a question raised by Xiuxiong Chen.