Some results on projectively flat affine surfaces

Antonio Martínez; Francisco Milán

Banach Center Publications (2005)

  • Volume: 69, Issue: 1, page 163-169
  • ISSN: 0137-6934

Abstract

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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.

How to cite

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Antonio Martínez, and Francisco Milán. "Some results on projectively flat affine surfaces." Banach Center Publications 69.1 (2005): 163-169. <http://eudml.org/doc/282056>.

@article{AntonioMartínez2005,
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.},
author = {Antonio Martínez, Francisco Milán},
journal = {Banach Center Publications},
keywords = {affine surfaces; projectively flat; affine spheres},
language = {eng},
number = {1},
pages = {163-169},
title = {Some results on projectively flat affine surfaces},
url = {http://eudml.org/doc/282056},
volume = {69},
year = {2005},
}

TY - JOUR
AU - Antonio Martínez
AU - Francisco Milán
TI - Some results on projectively flat affine surfaces
JO - Banach Center Publications
PY - 2005
VL - 69
IS - 1
SP - 163
EP - 169
AB - 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.
LA - eng
KW - affine surfaces; projectively flat; affine spheres
UR - http://eudml.org/doc/282056
ER -

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