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20122023
most citedObata's rigidity theorem for metric measure spaces

39 citations · 79 across the 12 of their papers we have counts for

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math.MG2014★ 39 cited

Obata's rigidity theorem for metric measure spaces

Christian Ketterer

We prove Obata's rigidity theorem for metric measure spaces that satisfy a Riemannian curvature-dimension condition. Additionally, we show that a lower bound for the generalize…

math.MG2014

Failure of topological rigidity results for the measure contraction property

Christian Ketterer, Tapio Rajala

We give two examples of metric measure spaces satisfying the measure contraction property MCP(K,N) but having different topological dimensions at different regions of the space. Th…