The geometry of totally geodesic foliations admitting Killing field

DOI10.2748/tmj/1178227921zbMath0657.53019OpenAlexW1982463963MaRDI QIDQ1110819

Carlos Currás-Bosch

Publication date: 1988

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178227921

zbMATH Keywords

compact leafKilling vector fieldstotally geodesic foliationsDe Rham's Decomposition Theorem

Mathematics Subject Classification ID

Foliations (differential geometric aspects) (53C12) Foliations in differential topology; geometric theory (57R30) Geodesic flows in symplectic geometry and contact geometry (53D25) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Related Items

Killing fields preserving totally geodesic, codimension-one foliations

Cites Work

• Unnamed Item
• Totally geodesic foliations and Killing fields
• Totally geodesic foliations and Killing fields. II
• De Rham decomposition theorems for foliated manifolds
• Jacobi fields and the stability of leaves of codimension-one minimal foliations
• Killing Vector Fields and Holonomy Algebras
• Introduction to the Geometry of Foliations, Part A
• Totally geodesic foliations