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Bi-conformal vector fields and the local geometric characterization of conformally separable pseudo-Riemannian manifolds. I. - MaRDI portal

Bi-conformal vector fields and the local geometric characterization of conformally separable pseudo-Riemannian manifolds. I. (Q2496669)

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scientific article; zbMATH DE number 5042244
  • Bi-conformal vector fields and the local geometric characterization of conformally separable pseudo-Riemannian manifolds. II
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English
Bi-conformal vector fields and the local geometric characterization of conformally separable pseudo-Riemannian manifolds. I.
scientific article; zbMATH DE number 5042244
  • Bi-conformal vector fields and the local geometric characterization of conformally separable pseudo-Riemannian manifolds. II

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Bi-conformal vector fields and the local geometric characterization of conformally separable pseudo-Riemannian manifolds. I. (English)
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Bi-conformal vector fields and the local geometric characterization of conformally separable pseudo-Riemannian manifolds. II (English)
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20 July 2006
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The authors study the normal form and the first integrability conditions of bi-conformal vector fields defined on a pseudo-Riemannian manifold. Part II, cf. ibid. 56, No. 9, 1600--1622 (2006; Zbl 1103.53009).
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The authors study further bi-conformal vector fields defined on pseudo-Riemannian manifolds. Here they provide local invariant characterizations of conformally separable pseudo-Riemannian manifolds with conformally flat leaf metrics. Part I, cf. ibid. 56, No. 7, 1069--1095 (2006; Zbl 1103.53008).
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symmetry transformations
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invariant characterizations
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local characterizations
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