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arXiv · 1103.6128

On global geodesic mappings of $n$-dimensional surfaces of revolution

Irena Hinterleitner
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Abstract

In this paper we study geodesic mappings of $n$-dimensional surfaces of revolution. From the general theory of geodesic mappings of equidistant spaces we specialize to surfaces of revolution and apply the obtained formulas to the case of rotational ellipsoids. We prove that such $n$-dimensional ellipsoids admit non trivial smooth geodesic deformations onto $n$-dimensional surfaces of revolution, which are generally of a different type.

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Irena Hinterleitner. 2011-03-31. On global geodesic mappings of $n$-dimensional surfaces of revolution. https://doi.org/10.1063/1.4733377

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