ℎ-principles and flexibility in geometry

DOI10.1090/memo/0779zbMath1050.53001OpenAlexW2061262852MaRDI QIDQ4416609

Hansjörg Geiges

Publication date: 3 August 2003

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

Full work available at URL: https://doi.org/10.1090/memo/0779

zbMATH Keywords

symplectic manifoldsinvariant relationsconvex integrationhomotopy principledifferential relationsHirsch-Smale immersion theoryNash-Kuiper \(C^1\)-isometric immersion theory

Mathematics Subject Classification ID

Symplectic and contact topology in high or arbitrary dimension (57R17) Global differential geometry (53C99) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to differential geometry (53-01) Symplectic geometry, contact geometry (53D99) Immersions in differential topology (57R42)

Related Items (5)

Homotopy classification of contact foliations on open contact manifolds ⋮ Holomorphic jets in symplectic manifolds ⋮ Existence of complete conformal metrics of negative Ricci curvature on manifolds with boundary ⋮ 𝐡-principles for hypersurfaces with prescribed principle curvatures and directions ⋮ Convex integration theory without integration

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