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Uniqueness of the Fisher-Rao metric on the space of smooth densities

The Bulletin of the London Mathematical Society, 2016-06, Vol.48 (3), p.499-506

2016

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Mathematik in Österreich und Die NS-Zeit: 176 Kurzbiographien

1st Aufl 2023rd edition, 2023

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GEODESIC COMPLETENESS FOR SOBOLEV METRICS ON THE SPACE OF IMMERSED PLANE CURVES

Forum of mathematics. Sigma, 2014-07, Vol.2, Article e19

2014

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Sobolev Metrics on the Manifold of All Riemannian Metrics

Journal of differential geometry, 2013-06, Vol.94 (2), p.187-208

2013

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Smooth Perturbations of the Functional Calculus and Applications to Riemannian Geometry on Spaces of Metrics

Communications in mathematical physics, 2022, Vol.389 (2), p.899-931

2022

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Functors and Categories of Banach Spaces: Tensor Products, Operator Ideals and Functors on Categories of Banach Spaces

Michor, P.W

1978 edition., 2006

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Fractional Sobolev metrics on spaces of immersions

Calculus of variations and partial differential equations, 2020-04, Vol.59 (2), Article 62

2020

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Constructing reparameterization invariant metrics on spaces of plane curves

Differential geometry and its applications, 2014-06, Vol.34, p.139-165

2014

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Geometry of the Fisher–Rao metric on the space of smooth densities on a compact manifold

Mathematische Nachrichten, 2019-03, Vol.292 (3), p.511-523

2019

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Almost Local Metrics on Shape Space of Hypersurfaces in n -Space

SIAM journal on imaging sciences, 2012-01, Vol.5 (1), p.244-310

2012

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Non-singular space-times with a negative cosmological constant: V. Boson stars

Letters in mathematical physics, 2018-09, Vol.108 (9), p.2009-2030

2018

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Vanishing geodesic distance for the Riemannian metric with geodesic equation the KdV-equation

Annals of global analysis and geometry, 2012-04, Vol.41 (4), p.461-472

2012

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Geodesic distance for right invariant Sobolev metrics of fractional order on the diffeomorphism group. II

Annals of global analysis and geometry, 2013-12, Vol.44 (4), p.361-368

2013

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Natural Operations in Differential Geometry

1, 1993

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Vanishing geodesic distance on spaces of submanifolds and diffeomorphisms

Documenta mathematica Journal der Deutschen Mathematiker-Vereinigung., 2005, Vol.10, p.217-245

2005

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Sectional Curvature in Terms of the Cometric, with Applications to the Riemannian Manifolds of Landmarks

SIAM journal on imaging sciences, 2012-01, Vol.5 (1), p.394-433

2012

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Geodesic distance for right invariant Sobolev metrics of fractional order on the diffeomorphism group

Annals of global analysis and geometry, 2013-06, Vol.44 (1), p.5-21

2013

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Overview of the Geometries of Shape Spaces and Diffeomorphism Groups

Journal of mathematical imaging and vision, 2014, Vol.50 (1-2), p.60-97

2014

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The Lagrangian Radon Transform and the Weil Representation

The Journal of fourier analysis and applications, 2014-04, Vol.20 (2), p.321-361

2014

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Curvature weighted metrics on shape space of hypersurfaces in n-space

Differential geometry and its applications, 2012-02, Vol.30 (1), p.33-41

2012

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

Applied and computational harmonic analysis, 2007-07, Vol.23 (1), p.74-113

2007

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Closed surfaces with different shapes that are indistinguishable by the SRNF

Archivum mathematicum, 2020 (2), p.107-114

2020

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Geometry of sample spaces

Differential geometry and its applications, 2023-10, Vol.90, p.102029, Article 102029

2023

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Riemannian geometries on spaces of plane curves

Journal of the European Mathematical Society : JEMS, 2006-01, Vol.8 (1), p.1-48

2006

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Homology and modular classes of Lie algebroids

Annales de l'Institut Fourier, 2006, Vol.56 (1), p.69-83

2006

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Uniqueness of the Fisher-Rao metric on the space of smooth densities

Mathematik in Österreich und Die NS-Zeit: 176 Kurzbiographien

GEODESIC COMPLETENESS FOR SOBOLEV METRICS ON THE SPACE OF IMMERSED PLANE CURVES

Sobolev Metrics on the Manifold of All Riemannian Metrics

Smooth Perturbations of the Functional Calculus and Applications to Riemannian Geometry on Spaces of Metrics

Functors and Categories of Banach Spaces: Tensor Products, Operator Ideals and Functors on Categories of Banach Spaces

Fractional Sobolev metrics on spaces of immersions

Constructing reparameterization invariant metrics on spaces of plane curves

Geometry of the Fisher–Rao metric on the space of smooth densities on a compact manifold

Almost Local Metrics on Shape Space of Hypersurfaces in n -Space

Non-singular space-times with a negative cosmological constant: V. Boson stars

Vanishing geodesic distance for the Riemannian metric with geodesic equation the KdV-equation

Geodesic distance for right invariant Sobolev metrics of fractional order on the diffeomorphism group. II

Natural Operations in Differential Geometry

Vanishing geodesic distance on spaces of submanifolds and diffeomorphisms

Sectional Curvature in Terms of the Cometric, with Applications to the Riemannian Manifolds of Landmarks

Geodesic distance for right invariant Sobolev metrics of fractional order on the diffeomorphism group

Overview of the Geometries of Shape Spaces and Diffeomorphism Groups

The Lagrangian Radon Transform and the Weil Representation

Curvature weighted metrics on shape space of hypersurfaces in n-space

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

Closed surfaces with different shapes that are indistinguishable by the SRNF

Geometry of sample spaces

Riemannian geometries on spaces of plane curves

Homology and modular classes of Lie algebroids

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