We consider the problem of characterizing Sasakian manifolds of constant ϕ-sectional curvature by using the spectrum 2Spec of the Laplace-Beltrami operator acting on 2-forms. In particular, we show that the sphere S2n+1, equipped with a Berger-Sasakian metric, is characterized by its 2Spec in the class of all compact simply connected Sasakian manifolds
A characterization of Sasakian space forms by the spectrum
PERRONE, Domenico
2015-01-01
Abstract
We consider the problem of characterizing Sasakian manifolds of constant ϕ-sectional curvature by using the spectrum 2Spec of the Laplace-Beltrami operator acting on 2-forms. In particular, we show that the sphere S2n+1, equipped with a Berger-Sasakian metric, is characterized by its 2Spec in the class of all compact simply connected Sasakian manifoldsFile in questo prodotto:
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