Hao-Hao Wang

Spectral almost rigidity on K\"ahler manifolds with positive Ricci lower bound

In this work, a sharp K\"ahler spectral almost-rigidity theorem was established, resolving Conjecture 1.8 of Chu--Wang--Zhang. For compact K\"ahler manifolds satisfying $\Ric(\omega)\geq\omega$, pinching the first $n^2+3$ nonzero complex eigenvalues to one forces the manifolds to be Gromov Hausdorff close to normalized...