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Search: All articles in the CMB digital archive with keyword rigidity

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1. CMB 2011 (vol 55 pp. 632)

Pigola, S.; Rimoldi, M.
Characterizations of Model Manifolds by Means of Certain Differential Systems
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.

Keywords:metric rigidity, model manifolds, Obata's type theorems
Category:53C20

2. CMB 2011 (vol 54 pp. 283)

Hillman, J. A.; Roushon, S. K.
Surgery on $\widetilde{\mathbb{SL}} \times \mathbb{E}^n$-Manifolds
We show that closed $\widetilde{\mathbb{SL}} \times \mathbb{E}^n$-manifolds are topologically rigid if $n\geq 2$, and are rigid up to $s$-cobordism, if $n=1$.

Keywords:topological rigidity, geometric structure, surgery groups
Categories:57R67, 57N16

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