Conformally flat manifolds with nonnegative Ricci curvature
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Publication:5480026
DOI10.1112/S0010437X06002016zbMath1100.53034arXivmath/0410180OpenAlexW2030773339MaRDI QIDQ5480026
Publication date: 25 July 2006
Published in: Compositio Mathematica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0410180
Rigidity results (53C24) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)
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On nonnegatively curved hypersurfaces in \(\mathbb{H}^{n+1}\) ⋮ Conformally flat Riemannian manifolds with finite \(L^p\)-norm curvature ⋮ The classification of locally conformally flat Yamabe solitons ⋮ A contribution to the geometry in the large of conformal diffeomorphisms ⋮ Manifolds with harmonic Weyl tensor and nonnegative curvature operator of the second kind ⋮ A note on rigidity of Riemannian manifolds with positive scalar curvature ⋮ The Sobolev inequality and the asymptotoc volume ⋮ A sphere theorem on locally conformally flat even-dimensional manifolds ⋮ Arsove–Huber Theorem in Higher Dimensions ⋮ On \(n\)-superharmonic functions and some geometric applications ⋮ On conformally flat manifolds with constant positive scalar curvature ⋮ On Huber-type theorems in general dimensions ⋮ On complete conformally flat submanifolds with nullity in Euclidean space
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