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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc69-0-11,
author = {Antonio Mart\'\i nez and Francisco Mil\'an},
title = {Some results on projectively flat affine surfaces},
journal = {Banach Center Publications},
volume = {68},
year = {2005},
pages = {163-169},
zbl = {1104.53007},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc69-0-11}
}
Antonio Martínez; Francisco Milán. Some results on projectively flat affine surfaces. Banach Center Publications, Tome 68 (2005) pp. 163-169. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc69-0-11/