On Gradient Shrinking and Expanding Kähler–Ricci Solitons
Tóm tắt
We prove that a compact gradient shrinking Kähler–Ricci soliton with subharmonic scalar curvature is Kähler–Einstein. Moreover, we show that a complete noncompact gradient shrinking Kähler–Ricci soliton with constant scalar curvature and nonnegative fourth-order divergence curvature (or Bochner) tensor is rigid. We also derive a classification theorem for complete noncompact gradient expanding Kähler–Ricci solitons.
Tài liệu tham khảo
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