Isometry groups and geodesic foliations of Lorentz manifolds. II: Geometry of analytic Lorentz manifolds with large isometry groups. (English) Zbl 0946.53036

Author’s abstract: “This is part II of a series on non-compact isometry groups of Lorentz manifolds. We have introduced, in Part I [ibid., 775-822 (see the review above)], a compactification of these isometry groups, and called “bipolarized” those Lorentz manifolds having a “trivial” compactification. Here, we show a geometric rigidity of non-bipolarized Lorentz manifolds; that is, they are (at least locally) warped products of constant curvature Lorentz manifolds by Riemannian manifolds”.


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


Zbl 0946.53034
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