2 papers
math.DG2025
Small eigenvalues of the Hodge-Laplacian with sectional curvature bounded below
Colette Anné, Junya Takahashi
For each degree p and each natural number k 1, we construct a oneparameter family of Riemannian metrics on any oriented closed manifold with volume one and the sectional curv…
math.DG2021
Small eigenvalues of the rough and Hodge Laplacians under fixed volume
Colette Anné, Junya Takahashi
For each degree p, we construct on any closed manifold a family of Riemannian metrics, with fixed volume such that any positive eigenvalues of the rough and Hodge Laplacians acting…