We introduce an inequality for graph hypersurfaces and prove a decomposition theorem in case equality holds.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc69-0-10, author = {Franki Dillen and Luc Vrancken}, title = {Improper affine spheres and $\delta$-invariants}, journal = {Banach Center Publications}, volume = {68}, year = {2005}, pages = {157-162}, zbl = {1089.53011}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc69-0-10} }
Franki Dillen; Luc Vrancken. Improper affine spheres and δ-invariants. Banach Center Publications, Tome 68 (2005) pp. 157-162. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc69-0-10/