Archivio Istituzionale della RicercaWe study three different topologies on the moduli space Hmloc of equivariant local isometry classes of m-dimensional locally homogeneous Riemannian spaces. As an application, we provide the first examples of locally homogeneous spaces converging to a limit space in the pointed Ck,α-topology, for some k> 1 , which do not admit any convergent subsequence in the pointed Ck+1-topology.
Convergence of locally homogeneous spaces / Pediconi, F.. - In: GEOMETRIAE DEDICATA. - ISSN 0046-5755. - 211:1(2021), pp. 105-127. [10.1007/s10711-020-00542-6]
Convergence of locally homogeneous spaces
Pediconi F.
2021
Abstract
We study three different topologies on the moduli space Hmloc of equivariant local isometry classes of m-dimensional locally homogeneous Riemannian spaces. As an application, we provide the first examples of locally homogeneous spaces converging to a limit space in the pointed Ck,α-topology, for some k> 1 , which do not admit any convergent subsequence in the pointed Ck+1-topology.
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Utilizza questo identificativo per citare o creare un link a questo documento:
https://hdl.handle.net/11583/3010039