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ArticleOriginal scientific text

Title

Symplectic connections with parallel Ricci tensor

Authors 1, 1, 2

Affiliations

  1. Université Libre de Bruxelles, Campus Plaine, CP 218, Bvd du Triomphe, 1050 Brussels, Belgium
  2. Mathematics Institute, University of Warwick, Coventry CV4 7AL, UK

Abstract

A variational principle introduced to select some symplectic connections leads to field equations which, in the case of the Levi Civita connection of Kähler manifolds, are equivalent to the condition that the Ricci tensor is parallel. This condition, which is stronger than the field equations, is studied in a purely symplectic framework.

Bibliography

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Banach Center Publications
2000/51/1
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Pages:
31-41
Main language of publication
English
Published
2000
Exact and natural sciences