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math.DG2008
T-structure and the Yamabe invariant
Chanyoung Sung
The Yamabe invariant is an invariant of a closed smooth manifold, which contains information about possible scalar curvature on it. It is well-known that a product manifold T^m\tim…
math.DG2008
On the nonexistence of Einstein metric on 4-manifolds
Chanyoung Sung
By using the gluing formulae of the Seiberg-Witten invariant, we show the nonexistence of Einstein metric on manifolds obtained from a 4-manifold with nontrivial Seiberg-Witten inv…