The scalar curvature and the spectrum of the Laplacian of spin manifolds
The Dirac operator plays an important role in geometry of spin manifolds. For example, Lichnerowicz deduced the Â-genus vanishing theorem for spin manifolds of positive scalar curvature. In this note we give an upper bound of the greatest lower bound of the spectrum of the Laplacian on universal covering spaces of closed spin manifolds of nonvanishing Â-genus.
scientific article; zbMATH DE number 4032673
scientific article