2021/10/12 by Francesco Pediconi, Pediconi, Francesco, Sammy Sbiti +1
Mathematics · Physics and Astronomy · #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Black Holes and Theoretical Physics
paper · pdf · doi:10.48550/arxiv.2110.05818
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.