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Chern-Yamabe problem and Chern-Yamabe soliton
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Let [Formula: see text] be a compact complex manifold of complex dimension [Formula: see text] endowed with a Hermitian metric [Formula: see text]. The Chern-Yamabe problem is to find a conformal metric of [Formula: see text] 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.
Title: Chern-Yamabe problem and Chern-Yamabe soliton
Description:
Let [Formula: see text] be a compact complex manifold of complex dimension [Formula: see text] endowed with a Hermitian metric [Formula: see text].
The Chern-Yamabe problem is to find a conformal metric of [Formula: see text] 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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