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

descriptionPublicationkeyboard_double_arrow_right Article 01 Jun 1993 English Publisher:Springer Science and Business Media LLCJournal:Geometriae Dedicata, volume 46, pages 249-277 (issn: 0046-5755, eissn: 1572-9168,

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Authors: Karidi, Ron;

doi: 10.1007/bf01263618

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

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Abstract

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.

Related Organizations

Tel Aviv University
Israel

Keywords

volume growth, Ricci curvature, Differential geometry of homogeneous manifolds, Global Riemannian geometry, including pinching

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