Curvature invariants, differential operators and local homogeneity

DOI10.1090/S0002-9947-96-01686-8zbMath0867.53032OpenAlexW1858520823WikidataQ124839127 ScholiaQ124839127MaRDI QIDQ3837657

Franco Tricerri, Friedbert Prüfer, Lieven Vanhecke

Publication date: 10 December 1996

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

Full work available at URL: https://doi.org/10.1090/s0002-9947-96-01686-8

zbMATH Keywords

invariant differential operatorsLaplaciancommutativitycurvature invariantslocally homogeneous spacesspaces with volume-preserving geodesic symmetries

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Global Riemannian geometry, including pinching (53C20)

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Cites Work

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• On compact Riemannian manifolds with volume-preserving symmetries
• Inequalities defining orbit spaces
• On two theorems of I. M. Singer about homogeneous spaces
• Ball-homogeneous and disk-homogeneous Riemannian manifolds
• Interaction of tubes and spheres
• Counter-example to the second Singer's theorem
• Two natural generalizations of locally symmetric spaces
• Generalized Heisenberg groups and Damek-Ricci harmonic spaces
• Divergence-preserving geodesic symmetries
• Le spectre d'une variété riemannienne. (The spectrum of a Riemannian manifold)
• On the commutator of differential operators
• Partial Differential Relations
• Mean-value theorems for Riemannian manifolds
• A class of nonsymmetric harmonic Riemannian spaces
• Infinitesimally homogeneous spaces

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