Archivio Istituzionale della RicercaWe prove a general existence theorem for collapsed ancient solutions to the Ricci flow on compact homogeneous spaces and we show that they converge in the Gromov–Hausdorff topology, under a suitable rescaling, to an Einstein metric on the base of a torus fibration. This construction generalizes all previous known examples in the literature.
Collapsed ancient solutions of the Ricci flow on compact homogeneous spaces / Pediconi, Francesco; Sbiti, Sammy. - In: PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY. - ISSN 0024-6115. - 125:5(2022), pp. 1130-1151. [10.1112/plms.12478]
Collapsed ancient solutions of the Ricci flow on compact homogeneous spaces
Pediconi, Francesco;
2022
Abstract
We prove a general existence theorem for collapsed ancient solutions to the Ricci flow on compact homogeneous spaces and we show that they converge in the Gromov–Hausdorff topology, under a suitable rescaling, to an Einstein metric on the base of a torus fibration. This construction generalizes all previous known examples in the literature.
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Utilizza questo identificativo per citare o creare un link a questo documento:
https://hdl.handle.net/11583/3010043