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Characterizations of Some Product Manifolds by Their Spectrum

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Abstract.

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.

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Authors and Affiliations

  1. Universidade de Brasília, Brazil

    Changyu Xia

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  1. Changyu Xia
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Xia, C. Characterizations of Some Product Manifolds by Their Spectrum. Mh Math 146, 159–168 (2005). https://doi.org/10.1007/s00605-005-0315-2

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  • DOI: https://doi.org/10.1007/s00605-005-0315-2

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