Einstein Finsler metrics on S3 with nonconstant flag curvature

• Autores: Libing Huang
• Localización: Houston journal of mathematics, ISSN 0362-1588, Vol. 37, Nº 4, 2011, págs. 1071-1086
• Idioma: inglés
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• Resumen

  • It is a well-known result in Riemannian geometry that a three-manifold with constant Ricci curvature must be of constant sectional curvature. But in Finsler geometry, this fact may not be true. In this paper, we constructed a two parameter family of almost regular Finsler metrics on S3. They have constant Ricci curvature +1, but their flag curvatures are nonconstant