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arXiv · 0904.1256

On Chapter Xii in Cartan's "LeÇONS Sur la GÉOMÉTRIE Des Espaces De Riemann"

Vic Patrangenaru
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Abstract

One shows that Cartan's method of adapted frames in Chapter XII of his famous treatise of Riemannian geometry, leads to a classification theorem of homogeneous Riemannian manifolds. Examples of classification in 3D dimensions obtained by Cartan are given using this powerful method.

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Vic Patrangenaru. 2009-04-08. On Chapter Xii in Cartan's "LeÇONS Sur la GÉOMÉTRIE Des Espaces De Riemann". https://arxiv.org/abs/0904.1256

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