A+ CATEGORY SCIENTIFIC UNIT

Some results on projectively flat affine surfaces

Volume 69 / 2005

Antonio Martínez, Francisco Milán Banach Center Publications 69 (2005), 163-169 MSC: Primary 53A15; Secondary 53B20, 53B30. DOI: 10.4064/bc69-0-11

Abstract

We focus our attention on projectively flat affine surfaces. First, we classify the affine surfaces with projectively flat induced connection and constant Pick invariant. We also investigate the compact case and study how the geometry at the boundary determines the geometry of the surface.

Authors

  • Antonio MartínezDepartamento de Geometría y Topología
    Facultad de Ciencias,
    Universidad de Granada
    18071 Granada, Spain
    e-mail
  • Francisco MilánDepartamento de Geometría y Topología
    Facultad de Ciencias,
    Universidad de Granada
    18071 Granada, Spain
    e-mail

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