Minimal surfaces of Riemann type in three-dimensional product manifolds

• Autores: Laurent Hauswirth
• Localización: Pacific journal of mathematics, ISSN 0030-8730, Vol. 224, Nº 1, 2006, págs. 91-118
• Idioma: inglés
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• Resumen

  • We construct and classify minimal surfaces foliated by horizontal curves of constant curvature in H2×R, R2×R and S2×R. The main tool is the existence of a Shiffman Jacobi field; such fields characterize the property of being foliated by circles in these product manifolds.