{
  "id": "2408.02080",
  "version": "v1",
  "published": "2024-08-04T16:12:33.000Z",
  "updated": "2024-08-04T16:12:33.000Z",
  "title": "Conjugate radius, volume comparison and rigidity",
  "authors": [
    "Zhiyao Xiong",
    "Xiaokui Yang"
  ],
  "categories": [
    "math.DG"
  ],
  "abstract": "In this paper, we prove conjugate radius estimate, volume comparison and rigidity theorems for K\\\"ahler manifolds with various curvature conditions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-08-04T16:12:33.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "volume comparison",
      "conjugate radius estimate",
      "rigidity theorems",
      "curvature conditions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}