Compactness and Rigidity of Complete Kähler Ricci Shrinkers

Tongxin Xu; Zhenlei Zhang

Compactness and Rigidity of Complete Kähler Ricci Shrinkers

Differential Geometry 2026-08-11 v1

Authors: Tongxin Xu , Zhenlei Zhang

Abstract

In this paper, we study compactness, rigidity, and related geometric properties of complete K\"ahler Ricci shrinkers through the polarized Fano fibration structure.

Keywords

Kähler Ricci shrinker compactness rigidity polarized Fano fibration

Cite

@article{arxiv.2608.10953,
  title  = {Compactness and Rigidity of Complete Kähler Ricci Shrinkers},
  author = {Tongxin Xu and Zhenlei Zhang},
  journal= {arXiv preprint arXiv:2608.10953},
  year   = {2026}
}

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34 pages