Burkhard Wilking

Applied Mathematics · 2000–2017

A researcher in the Science corpus: 16 papers; trusts 27 researchers and is trusted by 42 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 59 citations into it; #369 of 7,620 by trust here, #433 by citations
• Geometry and Topology — 56 citations into it; #352 of 7,422 by trust here, #367 by citations
• Astronomy and Astrophysics — 30 citations into it; #4,046 of 10,964 by trust here, #7,732 by citations
• Mathematical Physics — 6 citations into it; #3,962 of 8,562 by trust here, #5,794 by citations

Whom Burkhard Wilking trusts overall

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

1. S. Brendle
2. Christoph E. Boehm
3. L. Verdiani
4. G. Perelman
5. Xiaochun Rong
6. R. Schoen
7. K. Grove
8. Xiuxiong Chen
9. P. Topping
10. Christoph Böhm

Who trusts Burkhard Wilking overall

1. Peter Petersen
2. W. Wylie
3. W. Ziller
4. Marco Radeschi
5. K. Grove
6. S. Brendle
7. L. Verdiani
8. Huaihuo Cao
9. Frederick Wilhelm
10. F. Fang

Papers from Burkhard Wilking's perspective

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

1. Uniqueness of the Ricci flow on complete noncompact manifolds
2. Positively Curved Manifolds with Almost Maximal Symmetry Rank
3. A general convergence result for the Ricci flow in higher dimensions
4. Classification of manifolds with weakly 1/4-pinched curvatures
5. Semiconcave Functions in Alexandrov???s Geometry
6. Ricci flow with surgery on three-manifolds
7. Positively curved manifolds with symmetry
8. Cohomogeneity One Manifolds of Even Dimension with Strictly Positive Sectional Curvature
9. Sharp Holder continuity of tangent cones for spaces with a lower Ricci curvature bound and applications
10. Existence of Ricci Flows of Incomplete Surfaces

Their papers

• The Ricci flow under almost non-negative curvature conditions (2017) — 77 citations
• A knot characterization and 1-connected nonnegatively curved 4-manifolds with circle symmetry (2013) — 71 citations
• How to produce a Ricci Flow via Cheeger-Gromoll exhaustion (2011) — 67 citations
• Structure of fundamental groups of manifolds with Ricci curvature bounded below (2011) — 96 citations
• A Lie algebraic approach to Ricci flow invariant curvature conditions and Harnack inequalities (2010) — 61 citations
• Nonnegatively and Positively curved manifolds (2007) — 83 citations
• Nonnegatively Curved Manifolds with Finite Fundamental Groups Admit Metrics with Positive Ricci Curvature (2007) — 106 citations
• A Duality Theorem for Riemannian Foliations in Nonnegative Sectional Curvature (2006) — 91 citations
• Positively curved manifolds with symmetry (2006) — 71 citations
• Manifolds with positive curvature operators are space forms (2006) — 395 citations
• Non-negative curvature obstructions in cohomogeneity one and the Kervaire spheres (2006) — 56 citations
• Positively curved cohomogeneity one manifolds and 3-Sasakian geometry (2005) — 170 citations
• Torus actions on manifolds of positive sectional curvature (2003) — 130 citations
• Manifolds with positive sectional curvature almost everywhere (2002) — 71 citations
• Index parity of closed geodesics and rigidity of Hopf fibrations (2001) — 80 citations
• On fundamental groups of manifolds of nonnegative curvature (2000) — 67 citations