A characterisation of Riemannian foliations and totally umbilical submanifolds

DOI10.1017/S0004972700015501zbMath0785.53021WikidataQ115336973 ScholiaQ115336973MaRDI QIDQ3142054

Philippe Tondeur, Lieven Vanhecke

Publication date: 9 December 1993

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Riemannian foliationstotally geodesic submanifoldstotally umbilical submanifolds

Mathematics Subject Classification ID

Foliations (differential geometric aspects) (53C12) Foliations in differential topology; geometric theory (57R30) Local submanifolds (53B25)

Cites Work

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• A note on hypersurfaces in a Euclidean space
• Riemannian geometry as determined by the volumes of small geodesic balls
• Differential geometry of Kaehler submanifolds
• Minimal varieties and almost Hermitian submanifolds

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