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- W1495083739 abstract "A Riemannian manifold is called Weyl homogeneous, if its Weyl tensors at any two points are same, up to a positive multiple. A Weyl homogeneous manifold is modeled on a homogeneous space $M_0$, if its Weyl tensor at every point is same as the Weyl tensor of $M_0$, up to a positive multiple. We prove that a Weyl homogeneous manifold $M^n, n ge 4$, modeled on an irreducible symmetric space $M_0$ of types II or IV (compact simple Lie group with a bi-invariant metric or its noncompact dual) is conformally equivalent to $M_0$." @default.
- W1495083739 created "2016-06-24" @default.
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- W1495083739 date "2009-12-30" @default.
- W1495083739 modified "2023-09-27" @default.
- W1495083739 title "Weyl homogeneous manifolds modeled on compact Lie groups" @default.
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