# zbMATH — the first resource for mathematics

## Bauer, Martin

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 Author ID: bauer.martin Published as: Bauer, M.; Bauer, Martin External Links: MGP · Wikidata
 Documents Indexed: 40 Publications since 2011
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#### Co-Authors

 0 single-authored 18 Michor, Peter Wolfram 15 Bruveris, Martins 13 Harms, Philipp 5 Kolev, Boris 5 Modin, Klas 4 Joshi, Sarang C. 4 Preston, Stephen C. 3 Charon, Nicolas 3 Grasmair, Markus 2 Escher, Joachim 2 Klassen, Eric Paul 2 Møller-Andersen, Jakob 2 Su, Zhe 1 Cismas, Emanuel-Ciprian 1 Eslitzbichler, Markus 1 Fidler, Thomas 1 Kirisits, Clemens 1 Laga, Hamid 1 Marsland, Stephen R. 1 Müller, Olaf 1 Younes, Laurent
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#### Serials

 5 Differential Geometry and its Applications 4 Calculus of Variations and Partial Differential Equations 4 SIAM Journal on Imaging Sciences 3 Journal of Differential Equations 3 Annals of Global Analysis and Geometry 3 Journal of Geometric Mechanics 2 Journal of Mathematical Imaging and Vision 2 Inverse Problems and Imaging 1 Archive for Rational Mechanics and Analysis 1 Bulletin of the London Mathematical Society 1 Journal of Differential Geometry 1 Monatshefte für Mathematik 1 Journal of Nonlinear Science 1 Discrete and Continuous Dynamical Systems 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Geometry, Imaging and Computing
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#### Fields

 30 Global analysis, analysis on manifolds (58-XX) 15 Partial differential equations (35-XX) 9 Differential geometry (53-XX) 7 Information and communication theory, circuits (94-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 6 Numerical analysis (65-XX) 3 Computer science (68-XX) 2 Functional analysis (46-XX) 2 Fluid mechanics (76-XX) 1 General and overarching topics; collections (00-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Operator theory (47-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Geophysics (86-XX) 1 Biology and other natural sciences (92-XX)

#### Citations contained in zbMATH

30 Publications have been cited 314 times in 127 Documents Cited by Year
Overview of the geometries of shape spaces and diffeomorphism groups. Zbl 1310.58005
Bauer, Martin; Bruveris, Martins; Michor, Peter W.
2014
Sobolev metrics on shape space of surfaces. Zbl 1262.58004
Bauer, Martin; Harms, Philipp; Michor, Peter W.
2011
Constructing reparameterization invariant metrics on spaces of plane curves. Zbl 1291.58002
Bauer, Martin; Bruveris, Martins; Marsland, Stephen; Michor, Peter W.
2014
Geodesic distance for right invariant Sobolev metrics of fractional order on the diffeomorphism group. Zbl 1288.35415
Bauer, Martin; Bruveris, Martins; Harms, Philipp; Michor, Peter W.
2013
Vanishing geodesic distance for the Riemannian metric with geodesic equation the KdV-equation. Zbl 1246.58005
Bauer, Martin; Bruveris, Martins; Harms, Philipp; Michor, Peter W.
2012
Sobolev metrics on shape space. II: Weighted Sobolev metrics and almost local metrics. Zbl 1281.58003
Bauer, Martin; Harms, Philipp; Michor, Peter W.
2012
Local and global well-posedness of the fractional order EPDiff equation on $$\mathbb{R}^d$$. Zbl 1323.58007
Bauer, Martin; Escher, Joachim; Kolev, Boris
2015
Why use Sobolev metrics on the space of curves. Zbl 1338.65043
Bauer, Martin; Bruveris, Martins; Michor, Peter W.
2016
Sobolev metrics on the manifold of all Riemannian metrics. Zbl 1275.58007
Bauer, Martin; Harms, Philipp; Michor, Peter W.
2013
Almost local metrics on shape space of hypersurfaces in n-space. Zbl 1251.58002
Bauer, Martin; Harms, Philipp; Michor, Peter W.
2012
Homogeneous Sobolev metric of order one on diffeomorphism groups on real line. Zbl 1309.35064
Bauer, Martin; Bruveris, Martins; Michor, Peter W.
2014
Geometric investigations of a vorticity model equation. Zbl 1328.35163
Bauer, Martin; Kolev, Boris; Preston, Stephen C.
2016
A numerical framework for Sobolev metrics on the space of curves. Zbl 1367.49021
Bauer, Martin; Bruveris, Martins; Harms, Philipp; Møller-Andersen, Jakob
2017
Uniqueness of the Fisher-Rao metric on the space of smooth densities. Zbl 1347.58001
Bauer, Martin; Bruveris, Martins; Michor, Peter W.
2016
Geodesic distance for right invariant Sobolev metrics of fractional order on the diffeomorphism group. II. Zbl 1290.35192
Bauer, Martin; Bruveris, Martins; Michor, Peter W.
2013
$$R$$-transforms for Sobolev $$H^2$$-metrics on spaces of plane curves. Zbl 1315.35149
Bauer, Martin; Bruveris, Martins; Michor, Peter W.
2014
Landmark-guided elastic shape analysis of human character motions. Zbl 1368.65028
Bauer, Martin; Eslitzbichler, Markus; Grasmair, Markus
2017
Metrics on spaces of immersions where horizontality equals normality. Zbl 1321.58007
Bauer, Martin; Harms, Philipp
2015
Diffeomorphic density matching by optimal information transport. Zbl 1326.58010
Bauer, Martin; Joshi, Sarang; Modin, Klas
2015
Curvature weighted metrics on shape space of hypersurfaces in $$n$$-space. Zbl 1237.58009
Bauer, Martin; Harms, Philipp; Michor, Peter W.
2012
Comparing curves in homogeneous spaces. Zbl 1397.53066
Su, Zhe; Klassen, Eric; Bauer, Martin
2018
Riemannian geometry of the space of volume preserving immersions. Zbl 1357.58013
Bauer, Martin; Michor, Peter W.; Müller, Olaf
2016
Vanishing distance phenomena and the geometric approach to SQG. Zbl 1434.35084
Bauer, Martin; Harms, Philipp; Preston, Stephen C.
2020
Soliton solutions for the elastic metric on spaces of curves. Zbl 1396.58014
Bauer, Martin; Bruveris, Martins; Harms, Philipp; Michor, Peter W.
2018
Fractional Sobolev metrics on spaces of immersed curves. Zbl 1384.58010
Bauer, Martin; Bruveris, Martins; Kolev, Boris
2018
Optical flow on moving manifolds. Zbl 1404.94001
Bauer, Martin; Grasmair, Markus; Kirisits, Clemens
2015
A relaxed approach for curve matching with elastic metrics. Zbl 07194611
Bauer, Martin; Bruveris, Martins; Charon, Nicolas; Møller-Andersen, Jakob
2019
Diffeomorphic random sampling using optimal information transport. Zbl 1426.60010
Bauer, Martin; Joshi, Sarang; Modin, Klas
2017
On geodesic completeness for Riemannian metrics on smooth probability densities. Zbl 1376.58002
Bauer, Martin; Joshi, Sarang; Modin, Klas
2017
Local uniqueness of the circular integral invariant. Zbl 1268.49049
Bauer, Martin; Fidler, Thomas; Grasmair, Markus
2013
Vanishing distance phenomena and the geometric approach to SQG. Zbl 1434.35084
Bauer, Martin; Harms, Philipp; Preston, Stephen C.
2020
A relaxed approach for curve matching with elastic metrics. Zbl 07194611
Bauer, Martin; Bruveris, Martins; Charon, Nicolas; Møller-Andersen, Jakob
2019
Comparing curves in homogeneous spaces. Zbl 1397.53066
Su, Zhe; Klassen, Eric; Bauer, Martin
2018
Soliton solutions for the elastic metric on spaces of curves. Zbl 1396.58014
Bauer, Martin; Bruveris, Martins; Harms, Philipp; Michor, Peter W.
2018
Fractional Sobolev metrics on spaces of immersed curves. Zbl 1384.58010
Bauer, Martin; Bruveris, Martins; Kolev, Boris
2018
A numerical framework for Sobolev metrics on the space of curves. Zbl 1367.49021
Bauer, Martin; Bruveris, Martins; Harms, Philipp; Møller-Andersen, Jakob
2017
Landmark-guided elastic shape analysis of human character motions. Zbl 1368.65028
Bauer, Martin; Eslitzbichler, Markus; Grasmair, Markus
2017
Diffeomorphic random sampling using optimal information transport. Zbl 1426.60010
Bauer, Martin; Joshi, Sarang; Modin, Klas
2017
On geodesic completeness for Riemannian metrics on smooth probability densities. Zbl 1376.58002
Bauer, Martin; Joshi, Sarang; Modin, Klas
2017
Why use Sobolev metrics on the space of curves. Zbl 1338.65043
Bauer, Martin; Bruveris, Martins; Michor, Peter W.
2016
Geometric investigations of a vorticity model equation. Zbl 1328.35163
Bauer, Martin; Kolev, Boris; Preston, Stephen C.
2016
Uniqueness of the Fisher-Rao metric on the space of smooth densities. Zbl 1347.58001
Bauer, Martin; Bruveris, Martins; Michor, Peter W.
2016
Riemannian geometry of the space of volume preserving immersions. Zbl 1357.58013
Bauer, Martin; Michor, Peter W.; Müller, Olaf
2016
Local and global well-posedness of the fractional order EPDiff equation on $$\mathbb{R}^d$$. Zbl 1323.58007
Bauer, Martin; Escher, Joachim; Kolev, Boris
2015
Metrics on spaces of immersions where horizontality equals normality. Zbl 1321.58007
Bauer, Martin; Harms, Philipp
2015
Diffeomorphic density matching by optimal information transport. Zbl 1326.58010
Bauer, Martin; Joshi, Sarang; Modin, Klas
2015
Optical flow on moving manifolds. Zbl 1404.94001
Bauer, Martin; Grasmair, Markus; Kirisits, Clemens
2015
Overview of the geometries of shape spaces and diffeomorphism groups. Zbl 1310.58005
Bauer, Martin; Bruveris, Martins; Michor, Peter W.
2014
Constructing reparameterization invariant metrics on spaces of plane curves. Zbl 1291.58002
Bauer, Martin; Bruveris, Martins; Marsland, Stephen; Michor, Peter W.
2014
Homogeneous Sobolev metric of order one on diffeomorphism groups on real line. Zbl 1309.35064
Bauer, Martin; Bruveris, Martins; Michor, Peter W.
2014
$$R$$-transforms for Sobolev $$H^2$$-metrics on spaces of plane curves. Zbl 1315.35149
Bauer, Martin; Bruveris, Martins; Michor, Peter W.
2014
Geodesic distance for right invariant Sobolev metrics of fractional order on the diffeomorphism group. Zbl 1288.35415
Bauer, Martin; Bruveris, Martins; Harms, Philipp; Michor, Peter W.
2013
Sobolev metrics on the manifold of all Riemannian metrics. Zbl 1275.58007
Bauer, Martin; Harms, Philipp; Michor, Peter W.
2013
Geodesic distance for right invariant Sobolev metrics of fractional order on the diffeomorphism group. II. Zbl 1290.35192
Bauer, Martin; Bruveris, Martins; Michor, Peter W.
2013
Local uniqueness of the circular integral invariant. Zbl 1268.49049
Bauer, Martin; Fidler, Thomas; Grasmair, Markus
2013
Vanishing geodesic distance for the Riemannian metric with geodesic equation the KdV-equation. Zbl 1246.58005
Bauer, Martin; Bruveris, Martins; Harms, Philipp; Michor, Peter W.
2012
Sobolev metrics on shape space. II: Weighted Sobolev metrics and almost local metrics. Zbl 1281.58003
Bauer, Martin; Harms, Philipp; Michor, Peter W.
2012
Almost local metrics on shape space of hypersurfaces in n-space. Zbl 1251.58002
Bauer, Martin; Harms, Philipp; Michor, Peter W.
2012
Curvature weighted metrics on shape space of hypersurfaces in $$n$$-space. Zbl 1237.58009
Bauer, Martin; Harms, Philipp; Michor, Peter W.
2012
Sobolev metrics on shape space of surfaces. Zbl 1262.58004
Bauer, Martin; Harms, Philipp; Michor, Peter W.
2011
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#### Cited by 171 Authors

 26 Bauer, Martin 19 Bruveris, Martins 16 Michor, Peter Wolfram 9 Kolev, Boris 6 Escher, Joachim 6 Harms, Philipp 6 Preston, Stephen C. 5 Kurtek, Sebastian 5 Modin, Klas 4 Needham, Tom 4 Schulz, Volker H. 4 Trouvé, Alain 4 Vialard, François-Xavier 3 Bharath, Karthik 3 Chen, Chong 3 Cismas, Emanuel-Ciprian 3 Gris, Barbara 3 Marsland, Stephen R. 3 Mumford, David Bryant 3 Öktem, Ozan 3 Welker, Kathrin 2 Arguillère, Sylvain 2 Charon, Nicolas 2 Clarke, Brian P. 2 Cotter, Colin John 2 Eslitzbichler, Markus 2 Feragen, Aasa 2 Grasmair, Markus 2 Holm, Darryl D. 2 Jerrard, Robert Leon 2 Joshi, Sarang C. 2 Klassen, Eric Paul 2 Lang, Lukas F. 2 Le Brigant, Alice 2 Maor, Cy 2 Marmo, Giuseppe 2 McLachlan, Robert I. 2 Møller-Andersen, Jakob 2 Newton, Nigel J. 2 Peyré, Gabriel 2 Scherzer, Otmar 2 Schumacher, Henrik 2 Shi, Wenhui 2 Siebenborn, Martin 2 Simó, Amelia 2 Su, Zhe 2 Vorotnikov, Dmitry A. 2 Wardetzky, Max 2 Washabaugh, Pearce 1 Arnaudon, Alexis 1 Asaki, Thomas J. 1 Bajaj, Chandrajit L. 1 Balseiro, Paula 1 Barahona, Sonia 1 Baust, Maximilian 1 Benn, James 1 Cabrera, Alejandro 1 Castrillón López, Marco 1 Cellat, Serdar 1 Celledoni, Elena 1 Charlier, Benjamin 1 Chhay, Boramey 1 Chizat, Lénaïc 1 Chkrebtii, Oksana A. 1 Ciaglia, Florio Maria 1 Clark, Allan 1 Deasy, Jacob 1 Desbrun, Mathieu 1 Diez, Tobias 1 Domaniç, Nevzat Onur 1 Dowty, James G. 1 du Plessis, Andrew Allan 1 Durrleman, Stanley 1 Eckhardt, Jonathan 1 Eidnes, Sølve 1 Fan, Yu 1 García-Toraño Andrés, Eduardo 1 Garcke, Jochen 1 Ghahremani-Gol, Hajar 1 Grong, Erlend 1 Gual-Arnau, Ximo 1 Guo, Xiaoyang 1 Gursky, Matthew J. 1 Haller, Stefan 1 Hiptmair, Ralf 1 Hohage, Thorsten 1 Hotz, Thomas 1 Huber, Pascal 1 Huckemann, Stephan F. 1 Ibáñez, María Victoria 1 Ibort, Alberto 1 Ibrahim, Sharif 1 Iza-Teran, Rodrigo 1 Jacobs, Henry O. 1 Jia, Hao 1 Jost, Jürgen 1 Kaltenmark, Irène 1 Karlsson, Johan M. 1 Khesin, Boris A. 1 Kirisits, Clemens ...and 71 more Authors
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#### Cited in 54 Serials

 11 Annals of Global Analysis and Geometry 9 SIAM Journal on Imaging Sciences 7 Differential Geometry and its Applications 7 Journal of Geometric Mechanics 6 Journal of Mathematical Imaging and Vision 5 Calculus of Variations and Partial Differential Equations 4 Archive for Rational Mechanics and Analysis 3 Inverse Problems 3 Journal of the American Statistical Association 3 Journal of Differential Equations 3 Monatshefte für Mathematik 3 The Journal of Geometric Analysis 3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 3 Foundations of Computational Mathematics 3 Inverse Problems and Imaging 3 Information Geometry 2 Journal of Geometry and Physics 2 Discrete and Continuous Dynamical Systems 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Communications in Mathematical Physics 1 Letters in Mathematical Physics 1 Nonlinearity 1 Bulletin of the London Mathematical Society 1 Journal of Computational and Applied Mathematics 1 Mathematische Zeitschrift 1 Proceedings of the American Mathematical Society 1 Quarterly of Applied Mathematics 1 SIAM Journal on Control and Optimization 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Computer Aided Geometric Design 1 Physica D 1 Statistical Science 1 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 1 SIAM Journal on Mathematical Analysis 1 Journal of Knot Theory and its Ramifications 1 SIAM Journal on Optimization 1 Journal of Nonlinear Science 1 International Journal of Computer Vision 1 Advances in Computational Mathematics 1 Izvestiya: Mathematics 1 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 1 Abstract and Applied Analysis 1 Journal of the European Mathematical Society (JEMS) 1 Journal of Nonlinear Mathematical Physics 1 Journal of Evolution Equations 1 Journal of the Institute of Mathematics of Jussieu 1 Oberwolfach Reports 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Advances in Data Analysis and Classification. ADAC 1 Journal of Physics A: Mathematical and Theoretical 1 Forum of Mathematics, Sigma 1 SIAM/ASA Journal on Uncertainty Quantification 1 Research in the Mathematical Sciences 1 Geometric Flows
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#### Cited in 35 Fields

 62 Global analysis, analysis on manifolds (58-XX) 41 Partial differential equations (35-XX) 38 Differential geometry (53-XX) 29 Numerical analysis (65-XX) 20 Calculus of variations and optimal control; optimization (49-XX) 17 Computer science (68-XX) 15 Statistics (62-XX) 11 Information and communication theory, circuits (94-XX) 9 Dynamical systems and ergodic theory (37-XX) 7 Functional analysis (46-XX) 6 Fluid mechanics (76-XX) 6 Biology and other natural sciences (92-XX) 5 Topological groups, Lie groups (22-XX) 4 Probability theory and stochastic processes (60-XX) 4 Mechanics of deformable solids (74-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Systems theory; control (93-XX) 2 Special functions (33-XX) 2 Operator theory (47-XX) 2 Geophysics (86-XX) 2 Operations research, mathematical programming (90-XX) 1 General and overarching topics; collections (00-XX) 1 Algebraic geometry (14-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Ordinary differential equations (34-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Geometry (51-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Mechanics of particles and systems (70-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Quantum theory (81-XX)

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