2026 Peter W. Michor: Mathematics Researcher – H-Index, Publications & Awards

Discipline name	D-Index	World Ranking	Current World Ranking	National Ranking	Current National Ranking	Publications	Citations
Mathematics	45	1456	1251	21	21	222	9682

Discipline name

D-Index

World Ranking

Current World Ranking

National Ranking

Current National Ranking

Publications

Citations

Mathematics

1456

1251

222

9682

Overview

Peter W. Michor is affiliated with the University of Vienna in Austria. Their research focuses primarily on the field of Mathematics, with a considerable number of publications intersecting various subfields including Geometry and Topology, Applied Mathematics, Mathematical Physics, Astronomy and Astrophysics, and Computational Mechanics.

The main topics of their work encompass:

Geometric Analysis and Curvature Flows
Geometry and complex manifolds
Geometric and Algebraic Topology
Nonlinear Partial Differential Equations
History and Theory of Mathematics
Advanced Numerical Analysis Techniques
Morphological variations and asymmetry

Peter W. Michor's recent papers reflect these interests and include:

"Smooth Perturbations of the Functional Calculus and Applications to Riemannian Geometry on Spaces of Metrics" (2022) published in Communications in Mathematical Physics
"Sobolev metrics on spaces of manifold valued curves" (2022) published in ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE
"Regularity and completeness of half-Lie groups" (2023) published on arXiv (Cornell University)
"Fractional Sobolev metrics on spaces of immersions" (2020) published in Calculus of Variations and Partial Differential Equations
"Regularity and completeness of half-Lie groups" (2025) published in Journal of the European Mathematical Society

The frequent co-authors with whom they have collaborated include:

Martin Bauer
Wolfgang Ruppert
Philipp Harms
Cy Maor
Johanna Michor

Regarding publication venues, Peter W. Michor has multiple works featured in:

arXiv (Cornell University)
Communications in Mathematical Physics
ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE
Journal of the European Mathematical Society
Calculus of Variations and Partial Differential Equations

Peter W. Michor has also contributed to book publications with Springer Nature, including the title "Mathematik in Österreich und die NS-Zeit" (2023).

Best Publications

Natural operations in differential geometry

Ivan Kolář;Jan Slovák;Peter W. Michor

1469
Citations
The Convenient Setting of Global Analysis

Andreas Kriegl;Peter W. Michor

1413
Citations
Riemannian Geometries on Spaces of Plane Curves

Peter W. Michor;David Bryant Mumford

520
Citations
Manifolds of differentiable mappings

Peter W. Michor

446
Citations
Topics in Differential Geometry

Peter W. Michor

411
Citations
A metric on shape space with explicit geodesics

Laurent Younes;Peter W. Michor;Jayant M. Shah;David B. Mumford

289
Citations
An overview of the Riemannian metrics on spaces of curves using the Hamiltonian approach

Peter W. Michor;David Bryant Mumford

268
Citations
VANISHING GEODESIC DISTANCE ON SPACES OF SUBMANIFOLDS AND DIFFEOMORPHISMS

Peter W. Michor;David Bryant Mumford

250
Citations
Overview of the Geometries of Shape Spaces and Diffeomorphism Groups

Martin Bauer;Martins Bruveris;Peter W. Michor

200
Citations
Connections on central bimodules in noncommutative differential geometry

Michel Dubois-Violette;Peter W. Michor

187
Citations
Sobolev metrics on shape space of surfaces

Martin Bauer;Philipp Harms;Peter W. Michor

160
Citations
CONNECTIONS ON CENTRAL BIMODULES

Michel Dubois-Violette;Peter W. Michor

157
Citations
THE RIEMANNIAN MANIFOLD OF ALL RIEMANNIAN METRICS

Olga Gil-Medrano;Peter W. Michor

142
Citations
Banach modules and functors on categories of Banach spaces

Johann Cigler;Viktor Losert;Peter W. Michor

110
Citations
NATURAL TRANSFORMATIONS IN DIFFERENTIAL GEOMETRY

Gerd Kainz;Peter W. Michor

93
Citations
Constructing reparameterization invariant metrics on spaces of plane curves

Martin Bauer;Martins Bruveris;Stephen Marsland;Peter W. Michor

91
Citations
The action of the diffeomorphism group on the space of immersions

Vicente Cervera;Francisca Mascaró;Peter W. Michor

90
Citations
Constructing reparametrization invariant metrics on spaces of plane curves

Martin Bauer;Martins Bruveris;Stephen Marsland;Peter W. Michor

88
Citations
CHOOSING ROOTS OF POLYNOMIALS SMOOTHLY, II

Andreas Kriegl;Mark Losik;Peter W. Michor

85
Citations
The convenient setting for non-quasianalytic Denjoy–Carleman differentiable mappings☆

Andreas Kriegl;Peter W. Michor;Armin Rainer

83
Citations
Natural Operations in Di erential Geometry Springer-Verlag

R I Kol'a;Peter W. Michor;Jan Slovak

56
Citations
Mathematics unlimited-2001 and Beyond

Peter W. Michor

1
Citations

Frequent Co-Authors

David Mumford Brown University

Janusz Grabowski Polish Academy of Sciences

Michel Dubois-Violette Université Paris Cité

Giuseppe Marmo University of Naples Federico II

Xavier Pennec French Institute for Research in Computer Science and Automation - INRIA

Karl Sigmund University of Vienna

Tudor S. Ratiu École Polytechnique Fédérale de Lausanne

Laurent Younes Johns Hopkins University

Piotr T. Chruściel University of Vienna

Walter Schachermayer University of Vienna

External Links

Personal website of Peter W. Michor Google Scholar page

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