On the curvature of the diffeomorphism group

DOI10.1007/BF00773452zbMath0816.58009MaRDI QIDQ1345029

Alexander M. Lukatsky

Publication date: 1 March 1995

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

zbMATH Keywords

instabilityRiemannian metricvector fieldsectional curvatureideal incompressible fluidgroup of diffeomorphismsclosed manifold

Mathematics Subject Classification ID

Groups of diffeomorphisms and homeomorphisms as manifolds (58D05) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (5)

Existence of a conjugate point in the incompressible Euler flow on an ellipsoid ⋮ Form preserving diffeomorphisms of open manifolds ⋮ The Wasserstein geometry of nonlinear σ models and the Hamilton–Perelman Ricci flow ⋮ Diffeomorphism groups of compact manifolds ⋮ Nonpositive curvature on the area-preserving diffeomorphism group

Cites Work

• Groups of diffeomorphisms and the motion of an incompressible fluid
• Unnamed Item

This page was built for publication: On the curvature of the diffeomorphism group