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.

Topics for this special issue will include:

  • 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.

There is no limit to the length of an article. Deadline for paper submission is June 30, 2023.

How to Submit an Article to the Issue.

All articles will go through the standard peer reviewing procedure of SIGMA.

Papers in this Issue:

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 ]

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