Geodesic
Characterizations of Model Manifolds by Means of Certain Differential Systems
Canadian mathematical bulletin, Tome 55 (2012) no. 3, pp. 632-645

Voir la notice de l'article provenant de la source Cambridge University Press

We prove metric rigidity for complete manifolds supporting solutions of certain second order differential systems, thus extending classical works on a characterization of space-forms. Along the way, we also discover new characterizations of space-forms. We next generalize results concerning metric rigidity via equations involving vector fields.
DOI : 10.4153/CMB-2011-134-0
Mots-clés : 53C20, metric rigidity, model manifolds, Obata's type theorems 
Pigola, S.; Rimoldi, M. Characterizations of Model Manifolds by Means of Certain Differential Systems. Canadian mathematical bulletin, Tome 55 (2012) no. 3, pp. 632-645. doi: 10.4153/CMB-2011-134-0
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