3 papers
math.DG2025
Counting Homogeneous Einstein Metrics
Renato G. Bettiol, Hannah Friedman
We present an explicit upper bound on the number of isolated homogeneous Einstein metrics on compact homogeneous spaces whose isotropy representations consist of pairwise inequival…
math.DG2023
Bifurcations of Clifford tori in ellipsoids
Renato G. Bettiol, Paolo Piccione
We prove that 3-dimensional ellipsoids invariant under a 2-torus action contain infinitely many distinct immersed minimal tori, with at most one exception. These minimal tori bifur…
math.DG2023
Multiplicity of singular solutions to the fractional Yamabe problem on spheres
Renato G. Bettiol, María del Mar González, Ali Maalaoui
We prove nonuniqueness results for complete metrics with constant positive fractional curvature conformal to the round metric on , using bifurcation techniques.…