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.

Collapsed ancient solutions of the Ricci flow on compact homogeneous spaces / Pediconi, F; Sbiti, S. - In: PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY. - ISSN 0024-6115. - STAMPA. - (2022), pp. 0-0. [10.1112/plms.12478]

Collapsed ancient solutions of the Ricci flow on compact homogeneous spaces

Pediconi, F
;
Sbiti, S
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.
2022
0
0
Pediconi, F; Sbiti, S
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Utilizza questo identificatore per citare o creare un link a questa risorsa: https://hdl.handle.net/2158/1282346
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