Characterizations of Some Product Manifolds by Their Spectrum

• Autores: Changyu Xia
• Localización: Monatshefte für mathematik, ISSN 0026-9255, Vol. 146, Nº 2, 2005, págs. 159-168
• Idioma: inglés
• DOI: 10.1007/s00605-005-0315-2
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• Resumen

  • 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