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HOMOGENEOUS SUBMERSIONS OF 3-DIMENSIONAL GEOMETRIES

  • Received : 2011.08.16
  • Published : 2012.09.30

Abstract

We study the geometry of the images of 1-dimensional homogeneous submersions for each of the model spaces X of the eight 3-dimensional geometries. In particular, We shall calculate the group of isometries and the curvatures of the base surfaces for each of the model spaces of 3-dimensional geometries, with respect to every closed subgroup of the isometries of X acting freely.

Acknowledgement

Supported by : National Research Foundation of Korea(NRF)

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