Web19 de fev. de 2024 · On a closed balanced manifold, we show that if the Chern scalar curvature is small enough in a certain Sobolev norm, then a slightly modified version of the Chern–Yamabe flow (Angella et al. in ... WebOn a closed balanced manifold, we show that if the Chern scalar curvature is small enough in a certain Sobolev norm then a slightly modified version of the Chern–Yamabe flow [1] converges to a solution of the Chern–Yamabe problem. We also prove that if the Chern scalar curvature, on closed almost-Hermitian manifolds, is close enough to a constant …
On the Chern-Yamabe flow - NASA/ADS
Web24 de out. de 2010 · We give a survey of various compactness and non-compactness results for the Yamabe equation. We also discuss a conjecture of Hamilton concerning the asymptotic behavior of the parabolic Yamabe flow. Subjects: Differential Geometry (math.DG) Cite as: arXiv:1010.4960 [math.DG] Web2.2. Long time existence. In this section we showthat the Chern-Yamabe flow exists as long as the maximum of Chern scalar curvature stays bounded. The short time existence of the flow is straightforward as the principal sym-bol of the second-order operator of the right-hand side of the Chern-Yamabe flow is strictly positive definite. sign march 21
[1904.03831] A Note on Chern-Yamabe Problem - arXiv.org
WebBy using geometric flows related to Calamai-Zou's Chern–Yamabe flow, Ho [8] studied the problem of prescribing Chern scalar curvatures on balanced Hermitian manifolds with negative Chern scalar curvatures. Besides, Ho-Shin [9] showed that the solution to the Chern-Yamabe problem is unique under suitable conditions and obtained some results ... Web8 de abr. de 2024 · 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 … Web1 de ago. de 2013 · On a closed balanced manifold, we show that if the Chern scalar curvature is small enough in a certain Sobolev norm, then a slightly modified version of the Chern–Yamabe flow (Angella et al. in ... sign march 19