We study quadric surfaces in Euclidean 3-space with non-degenerate second fundamental form, and classify them in terms of the Gaussian curvature, the mean curvature, the second Gaussian curvature and the second mean curvature.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap107-1-4,
author = {Dae Won Yoon and Y\i lmaz Tun\c cer and Murat Kemal Karacan},
title = {Non-degenerate quadric surfaces of Weingarten type},
journal = {Annales Polonici Mathematici},
volume = {107},
year = {2013},
pages = {59-69},
zbl = {1263.53007},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap107-1-4}
}
Dae Won Yoon; Yılmaz Tunçer; Murat Kemal Karacan. Non-degenerate quadric surfaces of Weingarten type. Annales Polonici Mathematici, Tome 107 (2013) pp. 59-69. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap107-1-4/