Conformally flat manifolds whose development maps are not surjective. I

Kamishima, Yoshinobu

doi:10.1090/S0002-9947-1986-0825725-2

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Conformally flat manifolds whose development maps are not surjective. I

Author: Yoshinobu Kamishima
Journal: Trans. Amer. Math. Soc. 294 (1986), 607-623
MSC: Primary 57S30; Secondary 57R55, 57S17
MathSciNet review: 825725
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Abstract: Let be an -dimensional conformally flat manifold. A universal covering of $M,\,\tilde M$ admits a conformal development map into ${S^n}$ . When a development map is not surjective, we can relate the boundary of the development image with the limit set of the holonomy group of . In this paper, we study properties of closed conformally flat manifolds whose development maps are not surjective.

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