Article ID Journal Published Year Pages File Type
1895546 Journal of Geometry and Physics 2015 7 Pages PDF
Abstract

We consider the problem of characterizing Sasakian manifolds of constant φφ-sectional curvature by using the spectrum 2Spec2Spec of the Laplace–Beltrami operator acting on 2-forms. In particular, we show that the sphere S2n+1S2n+1, equipped with a Berger-Sasakian metric, is characterized by its 2Spec2Spec in the class of all compact simply connected Sasakian manifolds.

Keywords
Related Topics
Physical Sciences and Engineering Mathematics Mathematical Physics
Authors
,