1 citations · 1 across the 5 of their papers we have counts for
5 papers
Geometric Rigidity via Almost-Harmonic Twisted Spinors
Francesco Bei, Simone Cecchini
We establish sharp scalar-curvature bounds and rigidity consequences of Gromov's exact-lift two-form method. Let , even, be a closed spin Riemannian manifold car…
Stable -systoles, scalar curvature and spin comass bounds
Simone Cecchini, Sven Hirsch, Rudolf Zeidler
We prove a sharp stable -systolic inequality for complex projective space under the scalar curvature lower bound of the normalized Fubini-Study metric. If is diffeomorphic t…
Positive scalar curvature with point singularities
Simone Cecchini, Georg Frenck, Rudolf Zeidler
We show that in every dimension , there exists a smooth closed manifold which does not admit a smooth positive scalar curvature ("psc") metric, but admits an $\…
Rigidity of spin fill-ins with non-negative scalar curvature
Simone Cecchini, Sven Hirsch, Rudolf Zeidler
We establish new mean curvature rigidity theorems for spin fill-ins with non-negative scalar curvature using two different spinorial techniques. Our results address two questions b…
Scalar curvature rigidity of the four-dimensional sphere
Simone Cecchini, Jinmin Wang, Zhizhang Xie +1
Let be a closed connected oriented (possibly non-spin) smooth four-dimensional manifold with scalar curvature bounded below by . In this paper, we prove that if …