Geometry of d'Atri spaces of type \(k\)

DOI10.1007/S10455-010-9209-1zbMath1204.53041OpenAlexW2045257454WikidataQ125759509 ScholiaQ125759509MaRDI QIDQ1959098

Maria J. Druetta

Publication date: 6 October 2010

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10455-010-9209-1

zbMATH Keywords

Damek-Ricci spaces\(k\)-D'Atri spaces\(k\)-th elementary symmetric functionsIwasawa type\(k\)-harmonic spaces

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Global differential geometry of Hermitian and Kählerian manifolds (53C55)

Related Items (1)

D'Atri spaces of type \(k\) and related classes of geometries concerning Jacobi operators

Cites Work

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• D'Atri spaces of Iwasawa type
• Noncompact homogeneous Einstein spaces
• Generalized Heisenberg groups and Damek-Ricci harmonic spaces
• On harmonic and asymptotically harmonic homogeneous spaces
• Divergence-preserving geodesic symmetries
• Carnot spaces and the k-stein condition
• Differential geometry of geodesic spheres.
• THE CURVATURE OF EINSTEIN SYMMETRIC SPACES
• HOMOGENEOUS SPACES OF NONPOSITIVE CURVATURE AND THEIR GEODESIC FLOW
• The geometry of k-harmonic manifolds

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