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Chern-Yamabe problem and Chern-Yamabe soliton

초록/요약 도움말

Let (X,omega 0) be a compact complex manifold of complex dimension n endowed with a Hermitian metric omega 0. The Chern-Yamabe problem is to find a conformal metric of omega 0 such that its Chern scalar curvature is constant. In this paper, we prove that the solution to the Chern-Yamabe problem is unique under some conditions. On the other hand, we obtain some results related to the Chern-Yamabe soliton.

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