Yuguang Zhang

activity

20062009

most citedBounding sectional curvature along a Kähler-Ricci flow

12 citations · 24 across the 7 of their papers we have counts for

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7 papers · 1 filter

math.DG2009★ 2 cited

Convergence of Calabi-Yau manifolds

Wei-Dong Ruan, Yuguang Zhang

In this paper, we study the convergence of Calabi-Yau manifolds under Kähler degeneration to orbifold singularities and complex degeneration to canonical singularities (including t…

math.DG2008

Miyaoka-Yau inequality for minimal projective manifolds of general type

Yuguang Zhang

In this short note, we prove the Miyaoka-Yau inequality for minimal projective $n$ -manifolds of general type by using Kähler-Ricci flow.

math.DG2008★ 1 cited

Non-singular solutions of normalized Ricci flow on noncompact manifolds of finite volume

Fuquan Fang, Yuguang Zhang, Zhenlei Zhang

The main result of this paper shows that, if $g (t)$ is a complete non-singular solution of the normalized Ricci flow on a noncompact 4-manifold $M$ of finite volume, then the Euler…

math.DG2007★ 12 cited

Bounding sectional curvature along a Kähler-Ricci flow

Wei-Dong Ruan, Yuguang Zhang, Zhenlei Zhang

If a normalized Kähler-Ricci flow $g (t), t \in [0, \infty),$ on a compact Kähler $n$ -manifold, $n \geq 3$ , of positive first Chern class satisfies $g (t) \in 2 π c_{1} (M)$ and has $L^{n}$ c…

math.DG2007★ 4 cited

Convergence of Kaehler-Ricci flow with integral curvature bound

Fuquan Fang, Yuguang Zhang

Let $g (t)$ , $t \in [0, + \infty)$ , be a solution of the normalized Kähler-Ricci flow on a compact Kähler $n$ -manifold $M$ with $c_{1} (M) > 0$ and initial metric $g (0) \in 2 π c_{1} (M)$ .…

math.DG2007★ 3 cited

Maximum solutions of normalized Ricci flows on 4-manifolds

Fuquan Fang, Yuguang Zhang, Zhenlei Zhang

We consider maximum solution $g (t)$ , $t \in [0, + \infty)$ , to the normalized Ricci flow. Among other things, we prove that, if $(M, ω)$ is a smooth compact symplectic 4-manifold su…