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5-th Conference on Geometry and Topology of Manifolds
April 27 - May 3, 2003

Krynica, Poland

Organizers
Institute of Mathematics of the Technical University of Lodz; Institute of Mathematics of the Jagiellonian University, Cracow; Faculty of Applied Mathematics of the University Mining and Matallurgy, Cracow

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Submersions on nilmanifolds and their geodesics
by
Szilvia Homolya
Insitute of Mathematics, University of Miskolc, Hungary

We describe the geodesics of two-step nilpotent Lie groups N with respect to left invariant Riemannian metrics <., .> using the Riemannian submersion structure of the fiber bundle \pi:N --> N/Z, where Z denotes the center of N. We characterize two-step nilmanifolds (N, <., .>) which have the property that the projections of geodesics of N onto the Euclidean factor space N/Z are planar curves.

Date received: April 26, 2003

Copyright © 2003 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cakm-27.