Structure theorem for Riemannian surfaces with arbitrary curvature Articles uri icon

publication date

  • June 2012

start page

  • 45

end page

  • 62

volume

  • 271

international standard serial number (ISSN)

  • 0025-5874

electronic international standard serial number (EISSN)

  • 1432-1823

abstract

  • In this paper we prove that any Riemannian surface, with no restriction of curvature at all, can be decomposed into blocks belonging just to some of these types: generalized Y-pieces, generalized funnels and halfplanes.