Conformal actions of higher rank lattices on compact pseudo-Riemannian manifolds
نویسندگان
چکیده
منابع مشابه
Conformal Actions of Nilpotent Groups on Pseudo-riemannian Manifolds Charles Frances and Karin Melnick
A basic question, first addressed by A. Lichnerowicz, is to characterize the pseudo-Riemannian manifolds (M,σ) for which Conf M does not preserve any metric in [σ]; in this case, Conf M is essential. The Lichnerowicz conjecture, proved by J. Lelong-Ferrand [LF1], says, for (M,σ) a Riemannian manifold of dimension ≥ 2, if Conf M is essential, then M is conformally equivalent to the round sphere ...
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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: Geometric and Functional Analysis
سال: 2020
ISSN: 1016-443X,1420-8970
DOI: 10.1007/s00039-020-00537-1