Bounding Sectional Curvature along a Kähler-ricci Flow

نویسندگان

  • WEI-DONG RUAN
  • YUGUANG ZHANG
  • Z. ZHANG
چکیده

If a normalized Kähler-Ricci flow g(t), t ∈ [0,∞), on a compact Kähler 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 Kähler-Ricci soliton.

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تاریخ انتشار 2008