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

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DOI

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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     author = {Pigola, S. and Rimoldi, M.},
     title = {Characterizations of {Model} {Manifolds} by {Means} of {Certain} {Differential} {Systems}},
     journal = {Canadian mathematical bulletin},
     pages = {632--645},
     year = {2012},
     volume = {55},
     number = {3},
     doi = {10.4153/CMB-2011-134-0},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2011-134-0/}
}
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