Smooth metric measure spaces, quasi-Einstein metrics, and tractors
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Publication:1935635
DOI10.2478/s11533-012-0091-xzbMath1263.53038arXiv1110.3009OpenAlexW2109521190MaRDI QIDQ1935635
Publication date: 18 February 2013
Published in: Central European Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1110.3009
Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07)
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A notion of the weighted \(\sigma_{k}\)-curvature for manifolds with density ⋮ Geometry of compact quasi-Einstein manifolds with boundary ⋮ Conformal invariants measuring the best constants for Gagliardo-Nirenberg-Sobolev inequalities ⋮ Sharp weighted Sobolev trace inequalities and fractional powers of the Laplacian ⋮ Noncompact quasi‐Einstein manifolds conformal to a Euclidean space ⋮ Deformation of the weighted scalar curvature ⋮ The weighted \(\sigma_k\)-curvature of a smooth metric measure space ⋮ On the problem of prescribing weighted scalar curvature and the weighted Yamabe flow ⋮ Weighted Yamabe solitons ⋮ Rigidity of weighted Einstein smooth metric measure spaces ⋮ Remarks on compact quasi-Einstein manifolds with boundary ⋮ On Fractional GJMS Operators ⋮ The weighted ambient metric
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