Abstract:Some characterizations of complex quadrics in terms of the spectrum are given.All manifolds are assumed to be compact, connected and of complex dimension /> 1. Two K~ihler manifolds are regarded as the same if one is holomorphically isometric to the other. The spectrum of p-forms for a K/ihler manifold M is denoted by SpecP(M). The complex projective n-space with the Fubini-Study metric of constant holomorphic curvature 1 is denoted by CP". The nonsingular complex quadric in CP" with the induced K~hler metric … Show more
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