Conformal vector fields on pseudo-Riemannian spaces
نویسندگان
چکیده
منابع مشابه
Spaces of Conformal Vector Fields on Pseudo-riemannian Manifolds
We study Riemannian or pseudo-Riemannian manifolds which carry the space of closed conformal vector fields of at least 2-dimension. Subject to the condition that at each point the set of closed conformal vector fields spans a non-degenerate subspace of the tangent space at the point, we prove a global and a local classification theorems for such manifolds.
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∇XV = λX for every vector field X. (1.2) Here ∇ denotes the Levi-Civita connection of g. We call vector fields satisfying (1.2) closed conformal vector fields. They appear in the work of Fialkow [3] about conformal geodesics, in the works of Yano [7–11] about concircular geometry in Riemannian manifolds, and in the works of Tashiro [6], Kerbrat [4], Kühnel and Rademacher [5], and many other aut...
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ژورنال
عنوان ژورنال: Differential Geometry and its Applications
سال: 1997
ISSN: 0926-2245
DOI: 10.1016/s0926-2245(96)00052-6