Ricci structure and volume growth for left invariant Riemannian metrics on nilpotent and some solvable Lie groups (Q1801610)

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scientific article; zbMATH DE number 205512
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Ricci structure and volume growth for left invariant Riemannian metrics on nilpotent and some solvable Lie groups
scientific article; zbMATH DE number 205512

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    Ricci structure and volume growth for left invariant Riemannian metrics on nilpotent and some solvable Lie groups (English)
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    17 February 1994
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    The paper presents the details of results announced earlier [C. R. Acad. Sci., Paris, Sér. I 314, No. 7, 551-556 (1992; Zbl 0748.53023)]. A computational approach is used to manipulate the curvature tensors, and to construct perturbations which preserve the Ricci curvature but not the Lie group structure.
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    volume growth
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    Ricci curvature
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