Conformally Geodesic Mappings Satisfying a Certain Initial Condition

نویسندگان

  • Hana Chudá
  • Josef Mikeš
چکیده

In this paper we study conformally geodesic mappings between pseudo-Riemannian manifolds (M, g) and (M̄, ḡ), i.e. mappings f : M → M̄ satisfying f = f1 ◦ f2 ◦ f3, where f1, f3 are conformal mappings and f2 is a geodesic mapping. Suppose that the initial condition f∗ḡ = kg is satisfied at a point x0 ∈ M and that at this point the conformal Weyl tensor does not vanish. We prove that then f is necessarily conformal.

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تاریخ انتشار 2011