Deformations of 2k-Einstein structures

Mathematics – Differential Geometry

Scientific paper

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12 pages. Manuscript accepted for publication on Journal of Geometry and Physics

Scientific paper

10.1016/j.geomphys.2009.12.017

It is shown that the space of infinitesimal deformations of 2k-Einstein
structures is finite dimensional at compact non-flat space forms. Moreover,
spherical space forms are shown to be rigid in the sense that they are isolated
in the corresponding moduli space.

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