Peter Petersen

Applied Mathematics · 2000–2019

A researcher in the Science corpus: 8 papers; trusts 23 researchers and is trusted by 35 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 61 citations into it; #461 of 7,620 by trust here, #595 by citations
• Geometry and Topology — 51 citations into it; #837 of 7,422 by trust here, #880 by citations
• Astronomy and Astrophysics — 41 citations into it; #1,480 of 10,964 by trust here, #5,222 by citations
• Radiology, Nuclear Medicine and Imaging — 7 citations into it

Whom Peter Petersen trusts overall

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

1. A. Naber
2. G. Perelman
3. Burkhard Wilking
4. Christoph E. Boehm
5. S. Brendle
6. W. Wylie
7. Manolo Eminenti
8. Binglong Chen
9. Jeff Cheeger
10. J. Lott

Who trusts Peter Petersen overall

1. Michele Rimoldi
2. S. Pigola
3. G. Catino
4. Michael Jablonski
5. Zhuhong Zhang
6. A. Barros
7. Ovidiu Munteanu
8. Huaihuo Cao
9. W. Wylie
10. A. Naber

Papers from Peter Petersen's perspective

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

1. The entropy formula for the Ricci flow and its geometric applications
2. Manifolds with positive curvature operators are space forms
3. Rotationally symmetric shrinking and ex - panding gradient Kahler - Ricci solitons
4. Ricci Flow with Surgery on Four-manifolds with Positive Isotropic Curvature
5. On the structure of spaces with Ricci curvature bounded below. II
6. The Ricci Flow: Techniques and Applications: Part II: Analytic Aspects
7. Scalar Curvature Deformation and a Gluing Construction for the Einstein Constraint Equations
8. On Gradient Ricci Solitons with Symmetry
9. Compact Einstein warped product spaces with nonpositive scalar curvature
10. Volume comparison theorems without Jacobi fields

Their papers

• On the set of images modulo viewpoint and contrast changes (2009) — 58 citations
• New curvature conditions for the Bochner Technique (2019) — 51 citations
• On the classification of warped product Einstein metrics (2010) — 156 citations
• An exotic sphere with positive sectional curvature (2008) — 63 citations
• On the classification of gradient Ricci solitons (2007) — 225 citations
• On Gradient Ricci Solitons with Symmetry (2007) — 171 citations
• RIGIDITY OF GRADIENT RICCI SOLITONS (2007) — 316 citations
• Analysis and geometry on manifolds with integral Ricci curvature bounds. II (2000) — 94 citations