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


Special Issue “Élie Cartan and Differential Geometry”

The Guest Editors for this special issue are

Robert Bryant (Duke University and MSRI in Berkeley, USA)
Thomas Ivey (College of Charleston, USA)
Niky Kamran (McGill University, Montreal, Canada)
Joseph Landsberg (Texas A&M University, USA)
Keti Tenenblat (Universidade de Brasília, Brasil)


The impact of the contributions of Élie Cartan (1869–1951) to differential geometry is still strongly felt today, particularly in the areas manifolds with special geometric structures, submanifold geometry and exterior differential systems, and this special issue of SIGMA aims to present some contributions that reflect the central place of Élie Cartan's legacy in contemporary differential geometry.

Deadline for paper submission is April 9, 2009 – the 140th anniversary of Élie Cartan.

Possible topics for papers include

  • geometry of manifolds via moving frames;
  • projective differential geometry, both real and complex;
  • conformal geometry;
  • connections and holonomy;
  • equivalence problems;
  • exterior differential systems.
Even though Lie groups are not one of the specific topics covered in the volume, they are a recurring theme throughout the contributions of the volume.

How to Submit an Article to the Issue.

The length of an article is not limited.

Publication will be done only on the results of the peer review according to refereeing policy of SIGMA.

If you have your paper ready earlier than the deadline, we encourage you to send it now. We will start the reviewing process and publish the paper as soon as the positive publication decision is made. The paper will be indexed in the relevant databases as soon as it is published without waiting for completion of the special issue.


Papers in this Issue:

Exterior Differential Systems for Yang-Mills Theories
Frank B. Estabrook
SIGMA 4 (2008), 063,  4 pages   [ abs   pdf   ps ]
Isoparametric and Dupin Hypersurfaces
Thomas E. Cecil
SIGMA 4 (2008), 062, 28 pages   [ abs   pdf   ps ]
Contact Geometry of Hyperbolic Equations of Generic Type
Dennis The
SIGMA 4 (2008), 058, 52 pages   [ abs   pdf   ps ]

Forthcoming papers:


Special Issues in SIGMA

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