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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”.

MSC:

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

Citations:

Zbl 0946.53034
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