The Euler characteristic of a projectively flat manifold whose developing image lies in an affine subspace of the n-dimensional real projective space is shown to be zero when its fundamental group is amenable, using a polyhedral Gauss-Bonnet formula.
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Chongqing Inst Technol, Sch Math & Phys, Chongqing 400050, Peoples R ChinaChongqing Inst Technol, Sch Math & Phys, Chongqing 400050, Peoples R China
Cheng, Xinyue
Li, Ming
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机构:Chongqing Inst Technol, Sch Math & Phys, Chongqing 400050, Peoples R China