Peter W. Michor

Riemannian geometries on spaces of plane curves

Peter W. Michor, David Mumford · Journal of the European Mathematical Society · 2006 · 378 citations · Full text

Integral Geometry, Global Geometry, Engineering +9

An overview of the Riemannian metrics on spaces of curves using the Hamiltonian approach

Peter W. Michor, David B. Mumford · Applied and Computational Harmonic Analysis · 2007 · 222 citations · Full text

Hamiltonian Theory, Global Geometry, Geometry +5

A metric on shape space with explicit geodesics

Laurent Younès, Peter W. Michor, Jayant Shah et al. · Rendiconti Lincei Matematica e Applicazioni · 2008 · 205 citations · Full text

Integral Geometry, Global Geometry, Classical Manifolds +10

Vanishing geodesic distance on spaces of submanifolds and diffeomorphisms

Peter W. Michor, David Mumford · Documenta Mathematica · 2005 · 180 citations · Full text

Geodesic Distance, Global Geometry, Geometry +7

Connections on central bimodules in noncommutative differential geometry

Michel Dubois‐Violette, Peter W. Michor · Journal of Geometry and Physics · 1996 · 123 citations

Central Bimodules, Non-commutative Algebra