A Hopf index theorem for foliations.

DOI10.1016/S0926-2245(02)00165-1zbMath1041.53030arXivmath/0104128OpenAlexW2952266749WikidataQ115338071 ScholiaQ115338071MaRDI QIDQ1405268

Efton Park, Ken V. Richardson, Victor A. Belfi

Publication date: 25 August 2003

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0104128

zbMATH Keywords

Euler characteristicRiemannian foliationHopf indexbasic vector field

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Global submanifolds (53C40) Foliations (differential geometric aspects) (53C12)

Related Items (8)

Equivariant basic cohomology of Riemannian foliations ⋮ Seiberg-Witten invariants on manifolds with Riemannian foliations of codimension 4 ⋮ Leaf closures of Riemannian foliations: a survey on topological and geometric aspects of Killing foliations ⋮ Modified differentials and basic cohomology for Riemannian foliations ⋮ Cohomological localization for transverse Lie algebra actions on Riemannian foliations ⋮ Localization of basic characteristic classes ⋮ Positively curved Killing foliations via deformations ⋮ PERTURBATIONS OF BASIC DIRAC OPERATORS ON RIEMANNIAN FOLIATIONS

Cites Work

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• Supersymmetry and Morse theory
• Nombre de Lefschetz basique pour un feuilletage riemannien. (Basic Lefschetz number for a Riemannian foliation)
• Riemannian foliations. With appendices by G. Cairns, Y. Carrière, E. Ghys, E. Salem, V. Sergiescu
• Riemannian foliations and eigenvalue comparison
• Partial differential equations. 2: Qualitative studies of linear equations
• Traces of heat operators on Riemannian foliations
• The basic Laplacian of a Riemannian foliation
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