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.

The issue contains 27 papers with the total of 611 pages.

We would like to thank all the authors who have published papers in the issue, and to give our special thanks to all the referees for providing constructive reviews.

Papers in this Issue:

Isomorphism of Intransitive Linear Lie Equations

Jose Miguel Martins Veloso
SIGMA 5 (2009), 103, 40 pages   [ abs   pdf   ps ]

Singularity Classes of Special 2-Flags

Piotr Mormul
SIGMA 5 (2009), 102, 22 pages   [ abs   pdf   ps ]

Contact Geometry of Curves

Peter J. Vassiliou
SIGMA 5 (2009), 098, 27 pages   [ abs   pdf   ps ]

Indefinite Affine Hyperspheres Admitting a Pointwise Symmetry. Part 2

Christine Scharlach
SIGMA 5 (2009), 097, 22 pages   [ abs   pdf   ps ]

Geometry of Control-Affine Systems

Jeanne N. Clelland, Christopher G. Moseley and George R. Wilkens
SIGMA 5 (2009), 095, 28 pages   [ abs   pdf   ps ]

On Tanaka's Prolongation Procedure for Filtered Structures of Constant Type

Igor Zelenko
SIGMA 5 (2009), 094, 21 pages   [ abs   pdf   ps ]

Compact Riemannian Manifolds with Homogeneous Geodesics

Dmitrii V. Alekseevsky and Yurii G. Nikonorov
SIGMA 5 (2009), 093, 16 pages   [ abs   pdf   ps ]

Existence and Construction of Vessiot Connections

Dirk Fesser and Werner M. Seiler
SIGMA 5 (2009), 092, 41 pages   [ abs   pdf   ps ]

Variations of Hodge Structure Considered as an Exterior Differential System: Old and New Results

James Carlson, Mark Green and Phillip Griffiths
SIGMA 5 (2009), 087, 40 pages   [ abs   pdf   ps ]

Natural Intrinsic Geometrical Symmetries

Stefan Haesen and Leopold Verstraelen
SIGMA 5 (2009), 086, 15 pages   [ abs   pdf   ps ]

Higher Order Connections

Michael G. Eastwood
SIGMA 5 (2009), 082, 10 pages   [ abs   pdf   ps ]

Conformal Structures Associated to Generic Rank 2 Distributions on 5-Manifolds – Characterization and Killing-Field Decomposition

Matthias Hammerl and Katja Sagerschnig
SIGMA 5 (2009), 081, 29 pages   [ abs   pdf   ps ]

Symmetric Space Cartan Connections and Gravity in Three and Four Dimensions

Derek K. Wise
SIGMA 5 (2009), 080, 18 pages   [ abs   pdf   ps ]

About Twistor Spinors with Zero in Lorentzian Geometry

Felipe Leitner
SIGMA 5 (2009), 079, 12 pages   [ abs   pdf   ps ]

On Spinor Varieties and Their Secants

Laurent Manivel
SIGMA 5 (2009), 078, 22 pages   [ abs   pdf   ps ]

On the Structure of Lie Pseudo-Groups

Peter J. Olver, Juha Pohjanpelto and Francis Valiquette
SIGMA 5 (2009), 077, 14 pages   [ abs   pdf   ps ]

Boundaries of Graphs of Harmonic Functions

Daniel Fox
SIGMA 5 (2009), 068,  8 pages   [ abs   pdf   ps ]

Symplectic Applicability of Lagrangian Surfaces

Emilio Musso and Lorenzo Nicolodi
SIGMA 5 (2009), 067, 18 pages   [ abs   pdf   ps ]

Holonomy and Projective Equivalence in 4-Dimensional Lorentz Manifolds

Graham S. Hall and David P. Lonie
SIGMA 5 (2009), 066, 23 pages   [ abs   pdf   ps ]

Non-Hamiltonian Actions and Lie-Algebra Cohomology of Vector Fields

Roberto Ferreiro Pérez and Jaime Muñoz Masqué
SIGMA 5 (2009), 063,  7 pages   [ abs   pdf   ps ]

Cartan Connections and Lie Algebroids

Michael Crampin
SIGMA 5 (2009), 061, 13 pages   [ abs   pdf   ps ]

Extension Phenomena for Holomorphic Geometric Structures

Benjamin McKay
SIGMA 5 (2009), 058, 45 pages   [ abs   pdf   ps ]

The Explicit Construction of Einstein Finsler Metrics with Non-Constant Flag Curvature

Enli Guo, Xiaohuan Mo and Xianqiang Zhang
SIGMA 5 (2009), 045,  7 pages   [ abs   pdf   ps ]

Einstein Gravity, Lagrange-Finsler Geometry, and Nonsymmetric Metrics

Sergiu I. Vacaru
SIGMA 4 (2008), 071, 29 pages   [ abs   pdf   ps ]

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 ]