A Bonnet-Myers Theorem from a spectral assumption

Abstract: We obtain a finiteness result for the fundamental group of a closed Riemannian manifold $(M^n,g)$ under the assumption that the Schrödinger operator $\Delta_g+(n-2)/\rho$ is positive (where at $x\in M$, $\rho(x)$ is the lowest eigenvalue of the Ricci tensor at $x$). It is a joint work with C. Rose (MPI Leipzig).

algebraic geometryalgebraic topologycomplex variablesdifferential geometrygeometric topologymetric geometryquantum algebrarepresentation theory

Audience: researchers in the topic

Sapienza A&G Seminar

Series comments: Weekly research seminar in algebra and geometry.

"Sapienza" Università di Roma, Department of Mathematics "Guido Castelnuovo".