Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

Special Issue on Differential Geometry Inspired by Mathematical Physics in honor of Jean-Pierre Bourguignon for his 75th birthday

The Guest Editors for this special issue are

Denis Auroux (Harvard University, USA)
Patrick Foulon (Institut de Mathématiques de Marseille, France)
Marc Herzlich (Université de Montpellier, France)
Oussama Hijazi (Université de Lorraine, France)
Andrei Moroianu (Université Paris-Saclay, France)

This special issue is dedicated to Jean-Pierre Bourguignon on the occasion of his 75th birthday, and contains articles on spin geometry, spectral problems, Ricci and scalar curvatures, Einstein metrics, Kähler–Einstein metrics and other canonical metrics in complex geometry (extremal, etc.), positive curvature, Ricci flow, relativity, geometric analysis, mathematics and society.

The volume consists of 26 papers for a total of 616 pages.

We are grateful to all the authors who contributed to this volume and to the referees for providing constructive reviews.

The Guest Editors        

Papers in this Issue:

Fragments of a History of the Concept of Ideal. Poncelet's and Chasles's Reflections on Generality in Geometry and their Impact on Kummer's Work with Ideal Divisors
Karine Chemla
SIGMA 20 (2024), 066, 37 pages   [ abs   pdf ]
Entropy for Monge-Ampère Measures in the Prescribed Singularities Setting
Eleonora Di Nezza, Stefano Trapani and Antonio Trusiani
SIGMA 20 (2024), 039, 19 pages   [ abs   pdf ]
Product Inequalities for $\mathbb T^\rtimes$-Stabilized Scalar Curvature
Misha Gromov
SIGMA 20 (2024), 038, 25 pages   [ abs   pdf ]
Scalar Curvature Rigidity of Warped Product Metrics
Christian Bär, Simon Brendle, Bernhard Hanke and Yipeng Wang
SIGMA 20 (2024), 035, 26 pages   [ abs   pdf ]
A Weierstrass Representation Formula for Discrete Harmonic Surfaces
Motoko Kotani and Hisashi Naito
SIGMA 20 (2024), 034, 15 pages   [ abs   pdf ]
Kähler-Yang-Mills Equations and Vortices
Oscar García-Prada
SIGMA 20 (2024), 032, 13 pages   [ abs   pdf ]
A Note about Isotopy and Concordance of Positive Scalar Curvature Metrics on Compact Manifolds with Boundary
Alessandro Carlotto and Chao Li
SIGMA 20 (2024), 014, 13 pages   [ abs   pdf ]
Twisted Sectors for Lagrangian Floer Theory on Symplectic Orbifolds
Bohui Chen, Kaoru Ono and Bai-Ling Wang
SIGMA 20 (2024), 011, 14 pages   [ abs   pdf ]
A Pseudodifferential Analytic Perspective on Getzler's Rescaling
Georges Habib and Sylvie Paycha
SIGMA 20 (2024), 010, 34 pages   [ abs   pdf ]
Taking Music Seriously: on the Dynamics of 'Mathemusical' Research with a Focus on Hexachordal Theorem
Moreno Andreatta, Corentin Guichaoua and Nicolas Juillet
SIGMA 20 (2024), 009, 19 pages   [ abs   pdf ]
Optimal Transport and Generalized Ricci Flow
Eva Kopfer and Jeffrey Streets
SIGMA 20 (2024), 003, 15 pages   [ abs   pdf ]
Nonlinear Isocapacitary Concepts of Mass in 3-Manifolds with Nonnegative Scalar Curvature
Luca Benatti, Mattia Fogagnolo and Lorenzo Mazzieri
SIGMA 19 (2023), 091, 29 pages   [ abs   pdf ]
Rigidity and Non-Rigidity of $\mathbb{H}^n/\mathbb{Z}^{n-2}$ with Scalar Curvature Bounded from Below
Tianze Hao, Yuhao Hu, Peng Liu and Yuguang Shi
SIGMA 19 (2023), 083, 28 pages   [ abs   pdf ]
About a Family of ALF Instantons with Conical Singularities
Olivier Biquard and Paul Gauduchon
SIGMA 19 (2023), 079, 19 pages   [ abs   pdf ]
Information Geometry, Jordan Algebras, and a Coadjoint Orbit-Like Construction
Florio M. Ciaglia, Jürgen Jost and Lorenz J. Schwachhöfer
SIGMA 19 (2023), 078, 27 pages   [ abs   pdf ]
Symplectic Double Extensions for Restricted Quasi-Frobenius Lie (Super)Algebras
Sofiane Bouarroudj, Quentin Ehret and Yoshiaki Maeda
SIGMA 19 (2023), 070, 29 pages   [ abs   pdf ]
On the Convex Pfaff-Darboux Theorem of Ekeland and Nirenberg
Robert L. Bryant
SIGMA 19 (2023), 060, 10 pages   [ abs   pdf ]
On the Spectrum of Certain Hadamard Manifolds
Werner Ballmann, Mayukh Mukherjee and Panagiotis Polymerakis
SIGMA 19 (2023), 050, 19 pages   [ abs   pdf ]
Seiberg-Witten Geometry of Four-Dimensional $\mathcal N=2$ Quiver Gauge Theories
Nikita Nekrasov and Vasily Pestun
SIGMA 19 (2023), 047, 141 pages   [ abs   pdf ]
Total Mean Curvature and First Dirac Eigenvalue
Simon Raulot
SIGMA 19 (2023), 029, 14 pages   [ abs   pdf ]
CYT and SKT Metrics on Compact Semi-Simple Lie Groups
Anna Fino and Gueo Grantcharov
SIGMA 19 (2023), 028, 15 pages   [ abs   pdf ]
Yamabe Invariants, Homogeneous Spaces, and Rational Complex Surfaces
Claude LeBrun
SIGMA 19 (2023), 027, 11 pages   [ abs   pdf ]
Spin${}^h$ Manifolds
H. Blaine Lawson Jr.
SIGMA 19 (2023), 012,   7 pages   [ abs   pdf ]
On Asymptotically Locally Hyperbolic Metrics with Negative Mass
Piotr T. Chruściel and Erwann Delay
SIGMA 19 (2023), 005, 15 pages   [ abs   pdf ]
A Note on Coupled Dirac Operators
Nigel J. Hitchin
SIGMA 19 (2023), 003,   9 pages   [ abs   pdf ]
Seven Concepts Attributed to Siméon-Denis Poisson
Yvette Kosmann-Schwarzbach
SIGMA 18 (2022), 092, 13 pages   [ abs   pdf ]

Additional contribution:

Onze variations sur le thème musique-mathématique
François Nicolas       [ pdf ]

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