BOUNDING SECTIONAL CURVATURE ALONG THE KÄHLER–RICCI FLOW
BOUNDING SECTIONAL CURVATURE ALONG THE KÄHLER–RICCI FLOW
复制标题
DOI：
10.1142/s0219199709003673
复制
发表时间：
2009-12
影响因子：
1.6
通讯作者：
Wei-Dong Ruan;Yuguang Zhang;Zhenlei Zhang
中科院分区：
文献类型：
--
作者：
Wei-Dong Ruan;Yuguang Zhang;Zhenlei Zhang
若紧Kahler流形M上的正规化Kahler-Ricci流g（t），t ∈ [0，∞），dim M = n ≥ 3，第一Chern类为正，满足g（t）∈ 2πc1（M），且曲率算子在Ln-模上一致有界，则曲率算子沿流也是沿着一致有界的.因此，该流将沿着一个子序列收敛到一个Kahler-Ricci孤子。
If a normalized Kahler–Ricci flow g(t), t ∈ [0,∞), on a compact Kahler manifold M, dimℂ M = n ≥ 3, with positive first Chern class satisfies g(t) ∈ 2πc1(M) and has curvature operator uniformly bounded in Ln-norm, the curvature operator will also be uniformly bounded along the flow. Consequently, the flow will converge along a subsequence to a Kahler–Ricci soliton.