On foliations with the structure group of automorphisms of a geometric structure

DOI10.2969/jmsj/03210119zbMath0413.57021OpenAlexW1995018657MaRDI QIDQ598671

Masaru Takeuchi

Publication date: 1980

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

Full work available at URL: https://doi.org/10.2969/jmsj/03210119

zbMATH Keywords

geodesic flowAnosov flowSpencer cohomologycharacteristic classes of foliationsasymptote geodesicssemi-simple flat homogeneous spacevanishing theorems for foliations with a transverse geometric structurevanishing theorems for rigid classes of projective and conformal foliations

Mathematics Subject Classification ID

Cohomology of classifying spaces for pseudogroup structures (Spencer, Gelfand-Fuks, etc.) (58H10) Foliations in differential topology; geometric theory (57R30) Geodesic flows in symplectic geometry and contact geometry (53D25) Classifying spaces for foliations; Gelfand-Fuks cohomology (57R32) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Related Items (3)

Foliated and associated geometric structures on foliated manifolds ⋮ Chaos in Cartan foliations ⋮ Transverse projective structures of foliations and infinitesimal derivatives of the Godbillon–Vey class

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