Peter W. Michor

Geometry and Topology · 2000–2014

A researcher in the Science corpus: 14 papers; trusts 10 researchers and is trusted by 24 researchers here, as inferred from the citation graph.

Subfields

• Geometry and Topology — 15 citations into it; #2,221 of 7,422 by trust here, #1,882 by citations
• Mathematical Physics — 13 citations into it; #2,390 of 8,562 by trust here, #2,387 by citations
• Applied Mathematics — 11 citations into it; #1,769 of 7,620 by trust here, #1,771 by citations
• Statistical and Nonlinear Physics — 11 citations into it

Whom Peter W. Michor trusts overall

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

1. Adrian Constantin
2. Jerrold E. Marsden
3. G. Misiołek
4. Tudor S. Ratiu
5. Boris Kolev
6. Vincent Thilliez
7. David Mumford
8. Juan-Pablo Ortega
9. H. Bursztyn
10. Y. Kosmann-Schwarzbach

Who trusts Peter W. Michor overall

1. Tom Leinster
2. Michel Waldschmidt
3. B. Clarke
4. Wolfgang Ring
5. Andrea Censi
6. Martin Bauer
7. Stephan F. Huckemann
8. Andrea Mennucci
9. Martins Bruveris
10. Facundo M'emoli

Papers from Peter W. Michor's perspective

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

1. On geodesic exponential maps of the Virasoro group
2. Statistical Decision Rules and Optimal Inference
3. Analysis of planar shapes using geodesic paths on shape spaces (IEEE Transactions on Pattern Analysis and Machine Intelligence)
4. Geodesic flow on the diffeomorphism group of the circle
5. Riemannian Geometries on Spaces of Plane Curves
6. Sobolev Spaces
7. On Completeness of Groups of Diffeomorphisms
8. Metric Structures for Riemannian and Non-Riemannian Spaces
9. A mathematical model illustrating the theory of turbulence
10. Integration of twisted Dirac brackets

Their papers

• Uniqueness of the Fisher–Rao metric on the space of smooth densities (2014) — 90 citations
• GEODESIC COMPLETENESS FOR SOBOLEV METRICS ON THE SPACE OF IMMERSED PLANE CURVES (2013) — 63 citations
• Vanishing geodesic distance for the Riemannian metric with geodesic equation the KdV-equation (2011) — 62 citations
• Geodesic distance for right invariant Sobolev metrics of fractional order on the diffeomorphism group (2011) — 51 citations
• The convenient setting for non-quasianalytic Denjoy–Carleman differentiable mappings☆ (2008) — 59 citations
• Topics in Differential Geometry (2008) — 135 citations
• A Metric on Shape Space with Explicit Geodesics (2007) — 250 citations
• Some Geometric Evolution Equations Arising as Geodesic Equations on Groups of Diffeomorphisms Including the Hamiltonian Approach (2006) — 58 citations
• Mathematics unlimited-2001 and Beyond (2005) — 132 citations
• Vanishing geodesic distance on spaces of submanifolds and diffeomorphisms (2004) — 232 citations
• Riemannian Geometries on Spaces of Plane Curves (2003) — 443 citations
• Encyclopaedia of Mathematics, Supplement III (2002) — 57 citations
• The Riemannian geometry of orbit spaces -- the metric, geodesics, and integrable systems (2001) — 65 citations
• Extensions of Lie algebras (2000) — 50 citations