4 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 ((M^n,g)), (n\geq 4) 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…
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…
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 $\…