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Construction of Initial Data Sets for Lorentzian Manifolds with Lightlike Parallel Spinors

Communications in mathematical physics, 2021-10, Vol.387 (1), p.77-109

2021

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A regularity result for the bound states of N-body Schrödinger operators: blow-ups and Lie manifolds

Letters in mathematical physics, 2023-02, Vol.113 (1), Article 26

2023

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A Comparison of the Georgescu and Vasy Spaces Associated to the N-Body Problems and Applications

Annales Henri Poincaré, 2022-04, Vol.23 (4), p.1141-1203

2022

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The smallest Dirac eigenvalue in a spin-conformal class and cmc immersions

Communications in analysis and geometry, 2009, Vol.17 (3), p.429-479

Ammann, Bernd

2009

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Low-dimensional surgery and the Yamabe invariant

Journal of the Mathematical Society of Japan, 2015-01, Vol.67 (1), p.159-182

2015

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The conformal Yamabe constant of product manifolds

Proceedings of the American Mathematical Society, 2013-01, Vol.141 (1), p.295-307

2013

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Analysis, Geometry and Topology of Positive Scalar Curvature Metrics

Oberwolfach reports, 2018-07, Vol.14 (3), p.2223-2298

2018

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Some examples of Dirac-harmonic maps

Letters in mathematical physics, 2019-05, Vol.109 (5), p.1205-1218

2019

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Dirac-harmonic maps from index theory

Calculus of variations and partial differential equations, 2013-07, Vol.47 (3-4), p.739-762

2013

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Square-integrability of solutions of the Yamabe equation

Communications in analysis and geometry, 2013, Vol.21 (5), p.891-916

2013

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A spin-conformal lower bound of the first positive Dirac eigenvalue

Differential geometry and its applications, 2003, Vol.18 (1), p.21-32

Ammann, Bernd

2003

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A spinorial energy functional: critical points and gradient flow

Mathematische annalen, 2016-08, Vol.365 (3-4), p.1559-1602

2016

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ON THE GEOMETRY OF RIEMANNIAN MANIFOLDS WITH A LIE STRUCTURE AT INFINITY

International Journal of Mathematics and Mathematical Sciences, 2004-01, Vol.2004 (4), p.161-193

2004

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Mass endomorphism and spinorial Yamabe type problems on conformally flat manifolds

Communications in analysis and geometry, 2006, Vol.14 (1), p.163-182

2006

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L^p$$ L p -spectrum of the Dirac operator on products with hyperbolic spaces

Calculus of variations and partial differential equations, 2016-10, Vol.55 (5), Article 127

2016

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Well‐posedness of the Laplacian on manifolds with boundary and bounded geometry

Mathematische Nachrichten, 2019-06, Vol.292 (6), p.1213-1237

2019

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Lp-spectrum of the Dirac operator on products with hyperbolic spaces

Calculus of variations and partial differential equations, 2016, Vol.55 (5)

2016

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Analysis, Geometry and Topology of Positive Scalar Curvature Metrics

Oberwolfach reports, 2022-08, Vol.18 (2), p.1579-1649

2022

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Manifolds with small Dirac eigenvalues are nilmanifolds

Annals of global analysis and geometry, 2007-06, Vol.31 (4), p.409-425

2007

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Analysis and boundary value problems on singular domains: An approach via bounded geometry

Comptes rendus. Mathématique, 2019-06, Vol.357 (6), p.487-493

2019

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The Cauchy Problems for Einstein Metrics and Parallel Spinors

Communications in mathematical physics, 2013-05, Vol.320 (1), p.173-198

2013

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Holonomy rigidity for Ricci-flat metrics

Mathematische Zeitschrift, 2019-02, Vol.291 (1-2), p.303-311

2019

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L p -spectrum of the Dirac operator on products with hyperbolic spaces

Calculus of variations and partial differential equations, 2016-10, Vol.55 (5), p.1-36

2016

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Smooth Yamabe invariant and surgery

Journal of differential geometry, 2013, Vol.94 (1), p.1-58

2013

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The spinorial energy functional on surfaces

Mathematische Zeitschrift, 2016-02, Vol.282 (1-2), p.177-202

2016

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Construction of Initial Data Sets for Lorentzian Manifolds with Lightlike Parallel Spinors

A regularity result for the bound states of N-body Schrödinger operators: blow-ups and Lie manifolds

A Comparison of the Georgescu and Vasy Spaces Associated to the N-Body Problems and Applications

The smallest Dirac eigenvalue in a spin-conformal class and cmc immersions

Low-dimensional surgery and the Yamabe invariant

The conformal Yamabe constant of product manifolds

Analysis, Geometry and Topology of Positive Scalar Curvature Metrics

Some examples of Dirac-harmonic maps

Dirac-harmonic maps from index theory

Square-integrability of solutions of the Yamabe equation

A spin-conformal lower bound of the first positive Dirac eigenvalue

A spinorial energy functional: critical points and gradient flow

ON THE GEOMETRY OF RIEMANNIAN MANIFOLDS WITH A LIE STRUCTURE AT INFINITY

Mass endomorphism and spinorial Yamabe type problems on conformally flat manifolds

L^p$$ L p -spectrum of the Dirac operator on products with hyperbolic spaces

Well‐posedness of the Laplacian on manifolds with boundary and bounded geometry

Lp-spectrum of the Dirac operator on products with hyperbolic spaces

Analysis, Geometry and Topology of Positive Scalar Curvature Metrics

Manifolds with small Dirac eigenvalues are nilmanifolds

Analysis and boundary value problems on singular domains: An approach via bounded geometry

The Cauchy Problems for Einstein Metrics and Parallel Spinors

Holonomy rigidity for Ricci-flat metrics

L p -spectrum of the Dirac operator on products with hyperbolic spaces

Smooth Yamabe invariant and surgery

The spinorial energy functional on surfaces

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