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A harmonic, Kähler Hadamard manifold (M^〈2m〉, g), m≥2, with Ricci curvature Ric=−1/2(m+1) and volume entropy ρ(M, g)=m, is biholomorphically isometric to a complex hyperbolic space of holomorphic sect...ional curvature −1, provided (M, g) is of hypergeometric type. A similar characterization of the real hyperbolic space and the quaternionic hyperbolic space is also obtained in terms of Ricci curvature and volume entropy, without hypergeometric assumption.続きを見る
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Mendeley出力
