Non-degenerate quadric surfaces of Weingarten type

Dae Won Yoon; Yılmaz Tunçer; Murat Kemal Karacan

Annales Polonici Mathematici (2013)

  • Volume: 107, Issue: 1, page 59-69
  • ISSN: 0066-2216

Abstract

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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.

How to cite

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Dae Won Yoon, Yılmaz Tunçer, and Murat Kemal Karacan. "Non-degenerate quadric surfaces of Weingarten type." Annales Polonici Mathematici 107.1 (2013): 59-69. <http://eudml.org/doc/280681>.

@article{DaeWonYoon2013,
abstract = {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.},
author = {Dae Won Yoon, Yılmaz Tunçer, Murat Kemal Karacan},
journal = {Annales Polonici Mathematici},
keywords = {Gaussian curvature; mean curvature; second Gaussian curvature; second mean curvature; quadric surface; weingarten surface},
language = {eng},
number = {1},
pages = {59-69},
title = {Non-degenerate quadric surfaces of Weingarten type},
url = {http://eudml.org/doc/280681},
volume = {107},
year = {2013},
}

TY - JOUR
AU - Dae Won Yoon
AU - Yılmaz Tunçer
AU - Murat Kemal Karacan
TI - Non-degenerate quadric surfaces of Weingarten type
JO - Annales Polonici Mathematici
PY - 2013
VL - 107
IS - 1
SP - 59
EP - 69
AB - 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.
LA - eng
KW - Gaussian curvature; mean curvature; second Gaussian curvature; second mean curvature; quadric surface; weingarten surface
UR - http://eudml.org/doc/280681
ER -

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