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math.DG2017
Conformal scalar curvature rigidity on Riemannian manifolds
Seongtag Kim
Let be an -dimensional complete Riemannian manifold. In this paper, we considers the following conformal scalar curvature rigidity problem: Given a compact smooth…
math.DG2010★ 16 cited
Rigidity of noncompact complete Bach-flat manifolds
Seongtag Kim
Let be a noncompact complete Bach-flat manifold with positive Yamabe constant. We prove that is flat if has zero scalar curvature and sufficiently small $L…
math.DG2009
Rigidity of noncompact complete manifolds with harmonic curvature
Seongtag Kim
Let be a noncompact complete -manifold with harmonic curvature and positive Sobolev constant. Assume that norms of Weyl curvature and traceless Ricci curvature are…