@article{oai:niigata-u.repo.nii.ac.jp:00002080, author = {Innami, Nobuhiro}, issue = {3}, journal = {Journal of the Mathematical Society of Japan, Journal of the Mathematical Society of Japan}, month = {}, note = {Let M be a complete glued surface whose sectional curvature is greater than or equal to k and Δpqr a geodesic triangle domain with vertices p,q,r in M. We prove a compression theorem that there exists a distance nonincreasing map fromΔpqr onto the comparison triangle domain Δ^~pqr in the two-dimensional space form with sectional curvature k. Using the theorem, we also have some compression theorems and an application to a circular billiard ball problem on a surface.}, pages = {825--835}, title = {Compression theorems for surfaces and their applications}, volume = {59}, year = {2007} }