Compl�tude des m�triques lorentziennes de $$\mathbb{T}^2 $$ et diff�omorphismes du cercle

DOI10.1007/BF01321310zbMath0822.53036MaRDI QIDQ4763956

Luc Rozoy, Yves Carrière

Publication date: 25 October 1995

Published in: [https://portal.mardi4nfdi.de/entity/Q2710393 Boletim da Sociedade Brasileira de Matem�tica] (Search for Journal in Brave)

zbMATH Keywords

geodesic completenesscircle diffeomorphismsLorentzian torifoliations by null vectorsnull-completeness

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Foliations (differential geometric aspects) (53C12)

Related Items (15)

Maximal simply connected Lorentzian surfaces with a Killing field and their completeness ⋮ A note on geodesic foliations on the torus ⋮ Differentiable conjugacy for groups of area-preserving circle diffeomorphisms ⋮ On the geodesic connectedness of simply connected Lorentz surfaces ⋮ On Lorentzian compact surfaces without conjugate points ⋮ Variétés anti-de Sitter de dimension 3 exotiques. (Exotic 3-dimension anti-de Sitter manifolds) ⋮ An Introduction to Certain Topics on Lorentzian Geometry ⋮ Isometries of Lorentz surfaces and convergence groups ⋮ Lorentzian manifolds admitting a killing vector field ⋮ Closed geodesics in Lorentzian surfaces ⋮ Aubry-Mather theory for Lorentzian manifolds ⋮ Examples of Lorentzian geodesible foliations of closed three-manifolds having Heegaard splittings of genus one ⋮ Gallot-Tanno theorem for closed incomplete pseudo-Riemannian manifolds and applications ⋮ Structure of Lorentzian tori with a killing vector field ⋮ On essential-selfadjointness of differential operators on closed manifolds

Cites Work

• Completeness of Lorentz manifolds of constant curvature admitting Killing vector fields
• Affine manifolds with nilpotent holonomy
• Dynamical systems on surfaces. Transl. from the French by H. G. Helfenstein
• Autour de la conjecture de L. Markus sur les variétés affines. (Around the conjecture of L. Markus on affine manifolds)
• On the completeness of geodesics obtained as a limit
• Introduction to the Geometry of Foliations, Part A
• New properties and examples of incomplete Lorentzian tori
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