Xiping Zhu

Applied Mathematics · 2000–2010

A researcher in the Science corpus: 13 papers; trusts 37 researchers and is trusted by 62 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 60 citations into it; #221 of 7,620 by trust here, #295 by citations
• Geometry and Topology — 44 citations into it; #315 of 7,422 by trust here, #331 by citations
• Astronomy and Astrophysics — 20 citations into it; #1,044 of 10,964 by trust here, #3,892 by citations
• Computational Theory and Mathematics — 7 citations into it
• Mathematical Physics — 7 citations into it
• Radiology, Nuclear Medicine and Imaging — 7 citations into it

Whom Xiping Zhu trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. G. Perelman
2. Binglong Chen
3. Karl‐Theodor Sturm
4. Shin-ichi Ohta
5. Cédric Villani
6. Bennett Chow
7. Anton Petrunin
8. J. Lott
9. K. Kuwae
10. Huaihuo Cao

Who trusts Xiping Zhu overall

1. Binglong Chen
2. Huaihuo Cao
3. Lei Ni
4. S. Brendle
5. L. Bessières
6. Le Yin
7. Li Ma
8. Bruce Kleiner
9. B.-l. Chen
10. Huiling Gu

Papers from Xiping Zhu's perspective

Ordered by how strongly the researchers Xiping Zhu trusts endorse each paper. Same corpus, a different order for every researcher.

1. Metric Structures for Riemannian and Non-Riemannian Spaces
2. On the geometry of metric measure spaces. II
3. Ricci flow with surgery on three-manifolds
4. On the measure contraction property of metric measure spaces
5. Newtonian spaces: An extension of Sobolev spaces to metric measure spaces
6. The entropy formula for the Ricci flow and its geometric applications
7. Uniqueness of the Ricci flow on complete noncompact manifolds
8. Transport inequalities, gradient estimates, entropy and Ricci curvature
9. On the structure of spaces with Ricci curvature bounded below. II
10. Ricci Flow with Surgery on Four-manifolds with Positive Isotropic Curvature

Their papers

• Yau's gradient estimates on Alexandrov spaces (2010) — 59 citations
• Ricci Curvature on Alexandrov spaces and Rigidity Theorems (2009) — 124 citations
• Complete classification of compact four-manifolds with positive isotropic curvature (2008) — 61 citations
• The Existence of Type II Singularities for the Ricci Flow on $S^{n+1}$ (2007) — 59 citations
• Hamilton-Perelman's Proof of the Poincar\'e Conjecture and the Geometrization Conjecture (2006) — 48 citations
• A Complete Proof of the Poincaré and Geometrization Conjectures - application of the Hamilton-Perelman theory of the Ricci flow (2006) — 429 citations
• Uniqueness of the Ricci flow on complete noncompact manifolds (2005) — 223 citations
• Ricci Flow with Surgery on Four-manifolds with Positive Isotropic Curvature (2005) — 100 citations
• Lectures on Mean Curvature Flows (2002) — 154 citations
• A Uniformization Theorem Of Complete Noncompact K\"{a}hler Surfaces With Positive Bisectional Curvature (2002) — 55 citations
• On complete noncompact Kähler manifolds with positive bisectional curvature (2002) — 65 citations
• The Curve Shortening Problem (2001) — 288 citations
• Complete Riemannian manifolds with pointwise pinched curvature (2000) — 92 citations