16 citations · 36 across the 6 of their papers we have counts for
6 papers
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…
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…
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…
Solitons of the Self-dual Chern-Simons Theory on a Cylinder
Seongtag Kim
We study the self-dual Chern-Simons Higgs theory on an asymptotically flat cylinder. A topological multivortex solution is constructed and the fast decaying property of solutions i…
Gravitating Self-dual Chern-Simons Solitons
Bok Keun Chung, Jin-Mo Chung, Seongtag Kim +1
Self-dual solitons of Chern-Simons Higgs theory are examined in curved spacetime. We derive duality transformation of the Einstein Chern-Simons Higgs theory within path integral fo…
Self-dual Chern-Simons Vortices on Riemann Surfaces
Seongtag Kim, Yoonbai Kim
We study self-dual multi-vortex solutions of Chern-Simons Higgs theory in a background curved spacetime. The existence and decaying property of a solution are demonstrated.