Ehresmann connections for a foliated manifold and certain kinds of rectangles without terminal vertex

DOI10.2996/KMJ/1138044093zbMath0979.57012OpenAlexW2040405241MaRDI QIDQ1975398

Naoyuki Koike

Publication date: 24 February 2002

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

Full work available at URL: https://doi.org/10.2996/kmj/1138044093

zbMATH Keywords

Riemannian manifold

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Foliations (differential geometric aspects) (53C12) Foliations in differential topology; geometric theory (57R30) Connections (general theory) (53C05)

Cites Work

• Totally umbilic Riemannian foliations
• An analogue of the holonomy bundle for a foliated manifold
• De Rham decomposition theorems for foliated manifolds
• Riemannian foliations. With appendices by G. Cairns, Y. Carrière, E. Ghys, E. Salem, V. Sergiescu
• On the differential geometry of foliations
• Foliated manifolds with bundle-like metrics
• COMPLEMENTARY DISTRIBUTIONS WHICH PRESERVE THE LEAF GEOMETRY AND APPLICATIONS TO TOTALLY GEODESIC FOLIATIONS
• Totally geodesic foliations
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