Polyhedral geometry. (English) Zbl 1055.52012

Rubinstein, J. Hyam

Li, Benghe (ed.) et al., Low dimensional topology. Lectures presented during the program on low-dimensional topology held at the Morningside Center of Mathematics, Beijing, China, 1998/1999. Somerville, MA: International Press (ISBN 1-57146-112-4/pbk). New Stud. Adv. Math. 3, 69-73 (2003).

The author gives an introduction into some problems of the “polyhedral differential geometry” based on polyhedral metrics on surfaces in accordance with the article by the author and I. R. Aitchinson [Proc. Symp., Durham/UK 1989, Lond. Math. Soc. Lect. Note Ser. 151, 127–161 (1990; Zbl 0735.57005)].
For the entire collection see [Zbl 1034.57002].

Reviewer: Eike Hertel (Jena)

MSC:

52B70	Polyhedral manifolds
53C15	General geometric structures on manifolds (almost complex, almost product structures, etc.)
57M50	General geometric structures on low-dimensional manifolds

Keywords:

polyhedral metrics; non-positive curvature

Citations:

Zbl 0735.57005