Beitraege zur Algebra und Geometrie
Contributions to Algebra and Geometry
Volume 34 (1993), No. 2, 233-243.
The Fundamental Equations of Conformal Submersions
Liviu Ornea, Giuliano Romani
Abstract.
The purpose of this note is to establish the fundamental
equations of a conformal submersion; they are the analogue of the fundamental
equations of Riemannian submersions as found by B.\ O'Neill. Our method consists
in attaching to each class of conformal submersion a unique Riemannian submersion,
then, by means of appropriate projectors, taking the conformal invariant
components of its fundamental equations.