Weyl submersions of Weyl manifolds
Volume 107 / 2007
Colloquium Mathematicum 107 (2007), 119-140
MSC: 53A30, 53C25.
DOI: 10.4064/cm107-1-11
Abstract
We define Weyl submersions, for which we derive equations analogous to the Gauss and Codazzi equations for an isometric immersion. We obtain a necessary and sufficient condition for the total space of a Weyl submersion to admit an Einstein–Weyl structure. Moreover, we investigate the Einstein–Weyl structure of canonical variations of the total space with Einstein–Weyl structure.
