Geodesics and Deformed Pseudo-Riemannian Manifolds with Symmetry

Hebda, James J. (2001) Geodesics and Deformed Pseudo-Riemannian Manifolds with Symmetry. ACTA MATHEMATICA ACADEMIAE PAEDAGOGICAE NYÍREGYHÁZIENSIS, 17 (1). pp. 13-18. ISSN 0866-0174

Preview

Text amapn17_4.pdf Download (148kB) | Preview

Abstract

There is a general method, applicable in many situations, whereby a pseudo-Riemannian metric, invariant under the action of some Lie group, can be deformed to obtain a new metric whose geodesics can be expressed in terms of the geodesics of the old metric and the action of the Lie group. This method applied to Euclidean space and the unit sphere produces new examples of complete Riemannian metrics whose geodesics are expressible in terms of elementary functions.

Actions (login required)

Edit Item