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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.
The Guest Editors
Papers in this Issue:
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Isomorphism of Intransitive Linear Lie Equations
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Jose Miguel Martins Veloso
SIGMA 5 (2009), 103, 40 pages [ abs
pdf ps ]
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Singularity Classes of Special 2-Flags
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Piotr Mormul
SIGMA 5 (2009), 102, 22 pages [ abs
pdf ps ]
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Contact Geometry of Curves
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Peter J. Vassiliou
SIGMA 5 (2009), 098, 27 pages [ abs
pdf ps ]
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Indefinite Affine Hyperspheres Admitting a Pointwise Symmetry. Part 2
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Christine Scharlach
SIGMA 5 (2009), 097, 22 pages [ abs
pdf ps ]
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Geometry of Control-Affine Systems
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Jeanne N. Clelland, Christopher G. Moseley and George R. Wilkens
SIGMA 5 (2009), 095, 28 pages [ abs
pdf ps ]
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On Tanaka's Prolongation Procedure for Filtered Structures of Constant Type
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Igor Zelenko
SIGMA 5 (2009), 094, 21 pages [ abs
pdf ps ]
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Compact Riemannian Manifolds with Homogeneous Geodesics
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Dmitrii V. Alekseevsky and Yurii G. Nikonorov
SIGMA 5 (2009), 093, 16 pages [ abs
pdf ps ]
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Existence and Construction of Vessiot Connections
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Dirk Fesser and Werner M. Seiler
SIGMA 5 (2009), 092, 41 pages [ abs
pdf ps ]
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Variations of Hodge Structure Considered as an Exterior Differential System: Old and New Results
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James Carlson, Mark Green and Phillip Griffiths
SIGMA 5 (2009), 087, 40 pages [ abs
pdf ps ]
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Natural Intrinsic Geometrical Symmetries
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Stefan Haesen and Leopold Verstraelen
SIGMA 5 (2009), 086, 15 pages [ abs
pdf ps ]
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Higher Order Connections
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Michael G. Eastwood
SIGMA 5 (2009), 082, 10 pages [ abs
pdf ps ]
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Conformal Structures Associated to Generic Rank 2 Distributions on 5-Manifolds – Characterization and Killing-Field Decomposition
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Matthias Hammerl and Katja Sagerschnig
SIGMA 5 (2009), 081, 29 pages [ abs
pdf ps ]
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Symmetric Space Cartan Connections and Gravity in Three and Four Dimensions
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Derek K. Wise
SIGMA 5 (2009), 080, 18 pages [ abs
pdf ps ]
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About Twistor Spinors with Zero in Lorentzian Geometry
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Felipe Leitner
SIGMA 5 (2009), 079, 12 pages [ abs
pdf ps ]
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On Spinor Varieties and Their Secants
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Laurent Manivel
SIGMA 5 (2009), 078, 22 pages [ abs
pdf ps ]
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On the Structure of Lie Pseudo-Groups
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Peter J. Olver, Juha Pohjanpelto and Francis Valiquette
SIGMA 5 (2009), 077, 14 pages [ abs
pdf ps ]
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Boundaries of Graphs of Harmonic Functions
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Daniel Fox
SIGMA 5 (2009), 068, 8 pages [ abs
pdf ps ]
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Symplectic Applicability of Lagrangian Surfaces
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Emilio Musso and Lorenzo Nicolodi
SIGMA 5 (2009), 067, 18 pages [ abs
pdf ps ]
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Holonomy and Projective Equivalence in 4-Dimensional Lorentz Manifolds
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Graham S. Hall and David P. Lonie
SIGMA 5 (2009), 066, 23 pages [ abs
pdf ps ]
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Non-Hamiltonian Actions and Lie-Algebra Cohomology of Vector Fields
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Roberto Ferreiro Pérez and Jaime Muñoz Masqué
SIGMA 5 (2009), 063, 7 pages [ abs
pdf ps ]
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Cartan Connections and Lie Algebroids
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Michael Crampin
SIGMA 5 (2009), 061, 13 pages [ abs
pdf ps ]
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Extension Phenomena for Holomorphic Geometric Structures
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Benjamin McKay
SIGMA 5 (2009), 058, 45 pages [ abs
pdf ps ]
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The Explicit Construction of Einstein Finsler Metrics with Non-Constant Flag Curvature
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Enli Guo, Xiaohuan Mo and Xianqiang Zhang
SIGMA 5 (2009), 045, 7 pages [ abs
pdf ps ]
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Einstein Gravity, Lagrange-Finsler Geometry, and Nonsymmetric Metrics
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Sergiu I. Vacaru
SIGMA 4 (2008), 071, 29 pages [ abs
pdf ps ]
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Exterior Differential Systems for Yang-Mills Theories
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Frank B. Estabrook
SIGMA 4 (2008), 063, 4 pages [ abs
pdf ps ]
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Isoparametric and Dupin Hypersurfaces
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Thomas E. Cecil
SIGMA 4 (2008), 062, 28 pages [ abs
pdf ps ]
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Contact Geometry of Hyperbolic Equations of Generic Type
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Dennis The
SIGMA 4 (2008), 058, 52 pages [ abs
pdf ps ]
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