Characterizations of Some Product Manifolds by Their Spectrum |
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Authors: | Changyu Xia |
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Affiliation: | (1) Universidade de Brasília, Brazil |
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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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Keywords: | 2000 Mathematics Subject Classifications: 53C20 |
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