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Conformal Geometry and Dynamics

Published by the American Mathematical Society, the Conformal Geometry and Dynamics (ECGD) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-4173

The 2020 MCQ for Conformal Geometry and Dynamics is 0.5.

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A note on conformal connections on lightlike hypersurfaces
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by Cyriaque Atindogbe and Lionel Berard-Bergery PDF
Conform. Geom. Dyn. 11 (2007), 1-11 Request permission


Degenerate submanifolds of pseudo-Riemannian manifolds are quite difficult to study because there is no preferred connection when the submanifold is not totally geodesic. For the particular case of degenerate totally umbilical hypersurfaces, we show that there are “Weyl” connections adapted to the induced structure on the hypersurface. We begin the study of these with their holonomy.
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Additional Information
  • Cyriaque Atindogbe
  • Affiliation: Institut De Mathématiques et de Sciences Physiques, 01 BP 613, Porto-Novo, Bénin
  • Email:
  • Lionel Berard-Bergery
  • Affiliation: Institut Elie Cartan, Université Henri Poincaré, Nancy I, B.P. 239 54506 Vandœuvre-lès Nancy Cedex, France
  • Email:
  • Received by editor(s): December 1, 2005
  • Published electronically: January 10, 2007
  • Additional Notes: The first author thanks the Agence Universitaire de la Francophonie (AUF) for support with a one year research grant, along with the Institut Elie Cartan (IECN, UHP-Nancy I) for research facilities during the completion of this work.
  • © Copyright 2007 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Conform. Geom. Dyn. 11 (2007), 1-11
  • MSC (2000): Primary 53C50, 53C05, 53C29
  • DOI:
  • MathSciNet review: 2276544