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A note on Chern-Yamabe problem |
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| Affiliation: | 1. Dipartimento di Matematica e Informatica “Ulisse Dini”, Università di Firenze, via Morgagni 67/A, 50134 Firenze, Italy;2. Mathematics Department, Stony Brook University, Stony Brook NY, 11794-3651, USA |
| Abstract: | We propose a flow to study the Chern-Yamabe problem and discuss the long time existence of the flow. In the balanced case we show that the Chern-Yamabe problem is the Euler-Lagrange equation of some functional. The monotonicity of the functional along the flow is derived. We also show that the functional is not bounded from below. |
| Keywords: | Chern-Yamabe problem Constant Chern scalar curvature |
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