Xiaodong Cao

Applied Mathematics · with Zhang · 2006–2013

A researcher in the Science corpus: 9 papers; trusts 20 researchers and is trusted by 19 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 65 citations into it; #1,088 of 7,620 by trust here, #1,250 by citations
• Geometry and Topology — 41 citations into it; #1,557 of 7,422 by trust here, #1,618 by citations
• Astronomy and Astrophysics — 37 citations into it; #4,199 of 10,964 by trust here, #8,034 by citations
• Mathematical Physics — 9 citations into it; #5,176 of 8,562 by trust here, #4,785 by citations
• Computational Mechanics — 7 citations into it

Whom Xiaodong Cao trusts overall

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

1. Lei Ni
2. G. Perelman
3. Qi S. Zhang
4. Junfang Li
5. Bennett Chow
6. Huaihuo Cao
7. A. Naber
8. R. Hamilton
9. Guangyue Huang
10. Manolo Eminenti

Who trusts Xiaodong Cao overall

1. Qi S. Zhang
2. Hongxin Guo
3. Mihai Băileşteanu
4. Robert Philipowski
5. R. Hamilton
6. Bing Wang
7. Manolo Eminenti
8. Xiuxiong Chen
9. Junfang Li
10. Anton Thalmaier

Papers from Xiaodong Cao's perspective

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

1. Ricci flow with surgery on three-manifolds
2. Ricci flow and nonnegativity of sectional curvature
3. The fundamental solution on manifolds with time-dependent metrics
4. The Ricci Flow: An Introduction
5. Manifolds with positive curvature operators are space forms
6. Lectures on the Ricci Flow
7. Ricci Flow and the Poincaré Conjecture
8. Differential Harnack Estimates for Backward Heat Equations with Potentials under the Ricci Flow
9. Noncompact Shrinking 4-Solitons with Nonnegative Curvature
10. On type-I singularities in Ricci flow

Their papers

• Differential Harnack estimates for a nonlinear heat equation (2013) — 53 citations
• The conjugate heat equation and Ancient solutions of the Ricci flow (2010) — 94 citations
• Gradient estimates for the heat equation under the Ricci flow (2009) — 139 citations
• On Locally Conformally Flat Gradient Shrinking Ricci Solitons (2008) — 87 citations
• Differential Harnack Estimates for Backward Heat Equations with Potentials under the Ricci Flow (2008) — 71 citations
• Differential Harnack Estimates for Time-Dependent Heat Equations with Potentials (2008) — 116 citations
• Eigenvalues of on manifolds with nonnegative curvature operator (2007) — 69 citations
• FIRST EIGENVALUES OF GEOMETRIC OPERATORS UNDER THE RICCI FLOW (2007) — 91 citations
• Eigenvalues of $$(-\triangle + \frac{R}{2})$$ on manifolds with nonnegative curvature operator (2006) — 60 citations