Resumen de Characterizations of Some Product Manifolds by Their Spectrum

Changyu Xia

• Let Sn(c) denote the n-dimensional Euclidean sphere of constant sectional curvature c and denote by CPn(c) the complex projective space of complex dimension n and of holomorphic sectional curvature c. In this paper, we obtain some characterizations of the manifolds S2(c) × S2(c'), S4(c) × S4(c'), CP2(c) × CP2(c') by their spectrum