Riemannian foliations with parallel curvature

DOI10.1017/S0027763000020390zbMath0508.57020OpenAlexW1595822208WikidataQ115336404 ScholiaQ115336404MaRDI QIDQ4746516

Robert A. Blumenthal

Publication date: 1983

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0027763000020390

zbMATH Keywords

curvaturesymmetric spacebase-like cohomologyRiemannian foliation of a compact manifoldtorsion-free metric-preserving basic connection on the normal bundle

Mathematics Subject Classification ID

Foliations (differential geometric aspects) (53C12) Differential geometry of symmetric spaces (53C35) Foliations in differential topology; geometric theory (57R30)

Related Items

Foliated and associated geometric structures on foliated manifolds, De Rham decomposition theorems for foliated manifolds

Cites Work

• Foliated manifolds with flat basic connection
• Foliations with measure preserving holonomy
• Secondary characteristic classes for Riemannian foliations
• Transversely homogeneous foliations
• Closed metric foliations
• Foliated manifolds with bundle-like metrics
• Harmonic Integrals on Foliated Manifolds
• Étude des feuilletages transversalement complets et applications