Colantonio and Lauret (arXiv:2602.12939) produced the first pair of isospectral spherical space forms with non-isomorphic fundamental groups, on S¹⁵, and asked for the smallest dimension in which such a pair exists; by results of Ikeda the only open dimensi…
Differential GeometryAI reviewed · Human review open
For every integer n ≥ 2 Carlotto and Schulz constructed an embedded minimal hypersurface Xⁿ_(CS):Sn-1 × Sn-1 × S1 → S2n, generated by a closed profile curve whose initial radius r₀ and period T are known only numerically. Perdomo (arXiv:2508.09104, arXiv:26…
Differential GeometryAI reviewed · Human review open
In arXiv:2608.23778, El-Hasan, Li, Nienhaus, Petersen, Stanfield and Wink prove a Tachibana-type characterisation of complex projective space among Kähler–Einstein manifolds by a partial-positivity condition on the Calabi curvature operator. The constant in…
Differential GeometryAI reviewed · Human review open
Two recent papers of Arvanitoyeorgos, Sakane and Statha reduce the existence of non-naturally-reductive invariant Einstein metrics on the compact Lie groups SU(N) and SO(n), N=n=k₁+(p-1)k, to the positive real roots of a single univariate polynomial whose c…
Differential GeometryAI reviewed · Human review open
