On the curvature of certain extensions of $H$-type groups

DOI10.1090/S0002-9939-97-03576-4zbMath0873.53030OpenAlexW1573347841MaRDI QIDQ4332984

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Publication date: 19 February 1997

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-97-03576-4

zbMATH Keywords

sectional curvatureharmonic spacesDamek-Ricci spaces

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25)

Related Items (4)

The Dirichlet problem for harmonic maps between Damek-Ricci spaces ⋮ Information geometry of Poisson kernels on Damek-Ricci spaces ⋮ Negatively curved homogeneous Osserman spaces ⋮ Minimal codimension one foliation of a symmetric space by Damek-Ricci spaces

Cites Work

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• Isospectral closed Riemannian manifolds which are not locally isometric
• Harmonic analysis on solvable extensions of H-type groups
• Generalized Heisenberg groups and Damek-Ricci harmonic spaces
• Einstein metrics with nonpositive sectional curvature on extensions of Lie algebras of Heisenberg type
• \(H\)-type groups and Iwasawa decompositions
• On homogeneous manifolds of negative curvature
• Curvature of a semi-direct extension of a Heisenberg type nilpotent group
• Fundamental Solutions for a Class of Hypoelliptic PDE Generated by Composition of Quadratic Forms

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