A general description of totally geodesic foliations

DOI10.2748/tmj/1178228535zbMath0574.57012OpenAlexW2078021232MaRDI QIDQ1063910

Grant Cairns

Publication date: 1986

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

Full work available at URL: https://doi.org/10.2748/tmj/1178228535

zbMATH Keywords

Killing vector fieldsprincipal connectionscharacteristic classes of the leavesde Rham cohomologies of the leavestangential homotopy groupstotally geodesic foliations on complete Riemannian manifolds

Mathematics Subject Classification ID

Characteristic classes and numbers in differential topology (57R20) de Rham theory in global analysis (58A12) Foliations (differential geometric aspects) (53C12) Foliations in differential topology; geometric theory (57R30) Other homology theories in algebraic topology (55N35)

Related Items (9)

New metric structures on \(\mathfrak{g}\)-foliations ⋮ Ehresmann connections for Lagrangian foliations ⋮ Geometry of orbits of vector fields and singular foliations ⋮ Metric structures that admit totally geodesic foliations ⋮ Horizontal holonomy and foliated manifolds ⋮ Théorèmes de slice et holonomie des feuilletages riemanniens singuliers. (Slice theorems and holonomy of singular Riemannian foliations) ⋮ On Ricci curvature of metric structures on \(\mathfrak{g}\)-manifolds ⋮ Unnamed Item ⋮ Almost isometric singular foliations

Cites Work

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