Characterizations of the compactness of Riemannian manifolds by eigenfunctions, and a partial proof of a conjecture by Hamilton
The author establishes comparison theorems related to the first eigenvalue of the Schrödinger operator. On the basis of these results, characterizations of Ricci solitons as space forms are obtained. Partial answer to a conjecture formulated by Hamilton is given.
scientific article; zbMATH DE number 6624470
scientific article