Nonpositively curved metrics on 2-polyhedra. (English) Zbl 0843.53036

Ballmann, W.; Buyalo, S.

Math. Z. 222, No. 1, 97-134 (1996).

Summary: We consider metrics on compact 2-dimensional polyhedra which are nonpositively curved in the sense of Alexandrov. We are interested in the moduli space of such metrics and, in particular, in the question whether the metric is rigid.

MSC:

53C21	Methods of global Riemannian geometry, including PDE methods; curvature restrictions
57M20	Two-dimensional complexes (manifolds) (MSC2010)

Keywords:

compact 2-dimensional polyhedra; moduli space

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