Junming Xie 谢君明

Publications and preprints

• Kählerity of complete almost-Kähler gradient shrinking Ricci solitons
  Preprint, 2026. [arXiv]
• Convexity of mean convex asymptotically conical self-expanders to the mean curvature flow
  Preprint, 2025. [arXiv]
• (with H.-D. Cao) A note on the classification of four-dimensional gradient steady and expanding Ricci solitons
  Proc. Amer. Math. Soc. (accepted). [arXiv]
• (with H.-D. Cao) Curvature pinching of asymptotically conical gradient expanding Ricci solitons
  J. Differential Geom. (accepted). [arXiv]
• (with H.-D. Cao) Four-dimensional gradient Ricci solitons with (half) nonnegative isotropic curvature
  J. Math. Pures Appl. (9) 197 (2025), 103686. [Journal] [arXiv]
• (with H.-D. Cao) Four-dimensional complete gradient shrinking Ricci solitons with half positive isotropic curvature
  Math. Z. 305 (2023), no. 2, Paper 25. [Journal] [arXiv]
• (with J. Yu) Convexity of 2-convex translating and expanding solitons to the mean curvature flow in ℝⁿ⁺¹
  J. Geom. Anal. 33 (2023), no. 8, Paper 252. [Journal] [arXiv]
• (with H.-D. Cao and T. Liu) Complete gradient expanding Ricci solitons with finite asymptotic scalar curvature ratio
  Calc. Var. Partial Differential Equations 62 (2023), no. 2, Paper 48. [Journal] [arXiv]

Teaching