Web1 de abr. de 2024 · 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 … WebThe paper is an attempt to resolve the prescribed Chern scalar curvature problem. We look for solutions within the conformal class of a fixed Hermitian metric. We divide the problem in three cases, according to the sign of the Gauduchon degree, that we analyse separately. In the case where the Gauduchon degree is negative, we prove that every non-identically …
Chern-Yamabe problem and Chern-Yamabe soliton - ResearchGate
Web9. Results related to Chern-Yamabe flow. J. Geom. Anal. 31 (2024), 187-220. Link . 10. (Joint with Junyeop Lee and Jinwoo Shin) The second generalized Yamabe invariant and conformal mean curvature flow on manifolds with boundary. J. Differential Equations 274 (2024), 251 305. Link . 11. The Gauss-Bonnet-Chern mass under geometric flows. J. Math. WebDissertation: Monge-Ampere equation on the complement of a divisor and On the Chern-Yamabe flow. Mathematics Subject Classification: 53—Differential geometry. Advisor 1: Xiu-Xiong Chen. No students known. If you have additional information or corrections regarding this mathematician, please use the update form. orangeville to toronto
On the Chern-Yamabe problem
WebChern–Yamabe Problem then there exists a conformal metric g˜ = e 2u n g of constant Chern scalar curvature C(M, J,[g]), where the function u is normalized by M e 2u n volg = 1. In §4, we first study the Chern–Yamabe flow defined in [1], when the fundamental constant is negative. We prove that the flow converges to a solution of the ... WebThe Gauss-Bonnet-Chern mass under geometric flows - NASA/ADS. The Gauss-Bonnet-Chern mass was defined and studied by Ge, Wang, and Wu [Adv. Math. 266, 84-119 … Web4 de nov. de 2024 · The Gauss–Bonnet–Chern mass was defined and studied by Ge, Wang, and Wu [Adv. Math. 266, 84–119 (2014)].In this paper, we consider the evolution of Gauss–Bonnet–Chern mass along the Ricci flow and the Yamabe flow. ipl 2022 rr team players list