Lichnerowicz-Obata conjecture in dimension two

• Autores: Vladimir S. Matveev
• Localización: Commentarii mathematici helvetici, ISSN 0010-2571, Vol. 80, Nº 3, 2005, págs. 541-570
• Idioma: inglés
• DOI: 10.4171/cmh/25
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• Resumen

  • We prove that if a connected Lie group acts on a connected complete Riemannian surface of nonconstant curvature by diffeomorphisms that take (unparameterised) geodesics to geodesics, then it acts by isometries