Hermitian curvature flow
Witryna17 maj 2015 · A rigid theorem for deformed Hermitian-Yang-Mills equation. ... study the deformed Hermitian-Yang-Mills equation on compact K\"ahler manifold with non-negative orthogonal bisectional curvature. We prove that the curvatures of deformed … Expand. 3. PDF. View 1 excerpt, cites methods ... we study a class of fully nonlinear … WitrynaTY - JOUR AU - Streets, Jeffrey AU - Tian, Gang TI - Hermitian curvature flow JO - Journal of the European Mathematical Society PY - 2011 PB - European Mathematical Society Publishing House VL - 013 IS - 3 SP - 601 EP - 634 AB - We define a functional for Hermitian metrics using the curvature of the Chern connection. The …
Hermitian curvature flow
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WitrynaT1 - Hermitian curvature flow. AU - Streets, Jeffrey. AU - Tian, Gang. PY - 2011. Y1 - 2011. N2 - We define a functional for Hermitian metrics using the curvature of the … Witryna25 maj 2008 · The flow (1) is a member of a family of Hermitian Curvature Flows (HCFs), where Q(T ) is taken to be an arbitrary tensor quadratic in T , introduced by …
WitrynaTY - JOUR AU - Streets, Jeffrey AU - Tian, Gang TI - Hermitian curvature flow JO - Journal of the European Mathematical Society PY - 2011 PB - European … Witryna2 gru 2013 · The Chern–Ricci flow is an evolution equation of Hermitian metrics by their Chern–Ricci form, first introduced by Gill. Building on our previous work, we investigate this flow on complex surfaces. We establish new estimates in the case of finite time non-collapsing, analogous to some known results for the Kähler–Ricci flow.
Witryna9 lip 2016 · This gives a parabolic proof of existence of solutions to the Monge-Amp\`ere equation on almost Hermitian manifolds. ... The Anomaly flow is shown to converge on toric fibrations with the Fu-Yau ansatz, for both positive and negative values of the slope parameter $$\alpha '$$α′. ... On The Ricci Curvature of a Compact Kahler Manifold … WitrynaUsing the framework of the Hermitian curvature flows, due to Streets and Tian, we find a distinguished metric flow (further referred to as the HCF), which shares many …
WitrynaDOI: 10.1007/s11425-022-2089-1 Corpus ID: 246867450; The holomorphic d-scalar curvature on almost Hermitian manifolds @article{Ge2024TheHD, title={The holomorphic d-scalar curvature on almost Hermitian manifolds}, author={Jianquan Ge and Yi Zhou}, journal={Science China Mathematics}, year={2024} }
WitrynaWe study an analogue of the Calabi flow in the non-Kähler setting for compact Hermitian manifolds with vanishing first Bott–Chern class. We prove a priori estimates for the evolving metric along the flow given a uniform bound on the Chern scalar curvature. If the Chern scalar curvature remains uniformly bounded for all time, we show that the … csra trafficcsra to gditWitrynaHermitian Curvature Flow and Curvature Positivity Conditions Yury Ustinovskiy A Dissertation Presented to the Faculty of Princeton University in Candidacy for the … csra supervisor probationWitrynaN2 - We introduce a new curvature flow which matches with the Ricci flow on metrics and preserves the almost Hermitian condition. This enables us to use Ricci flow to … marco cosci pratoWitryna23 paź 2024 · 1. Li, Chao; Li, Jiayu; Zhang, Xi, A mean value formula and a Liouville theorem for the complex Monge-Ampère equation.Int. Math. Res. Not. IMRN 2024, no. 3, 853 ... csra transportationWitrynaWe call Θ(g) the torsion-twisted Chern–Ricci curvature. The flow (1) is a member of a family of Hermitian Curvature Flows (HCFs), where Q(T) is taken to be an arbitrary … marco cosci unicaWitryna22 lut 2011 · We define a functional for Hermitian metrics using the curvature of the Chern connection. The Euler–Lagrange equation for this functional is an elliptic equation for Hermitian metrics. Solutions to this equation are related to Kähler–Einstein metrics, and are automatically Kähler–Einstein under certain conditions. Given this, a natural … marco cosimi