Constructing isothermal curvature line coordinates on surfaces which admit them
Eugenio Aulisa; Magdalena Toda; Zeynep Kose
Open Mathematics (2013)
- Volume: 11, Issue: 11, page 1982-1993
- ISSN: 2391-5455
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topEugenio Aulisa, Magdalena Toda, and Zeynep Kose. "Constructing isothermal curvature line coordinates on surfaces which admit them." Open Mathematics 11.11 (2013): 1982-1993. <http://eudml.org/doc/269099>.
@article{EugenioAulisa2013,
abstract = {Isothermic parameterizations are synonyms of isothermal curvature line parameterizations, for surfaces immersed in Euclidean spaces. We provide a method of constructing isothermic coordinate charts on surfaces which admit them, starting from an arbitrary chart. One of the primary applications of this work consists of numerical algorithms for surface visualization.},
author = {Eugenio Aulisa, Magdalena Toda, Zeynep Kose},
journal = {Open Mathematics},
keywords = {Isothermal coordinates; Isothermic coordinates; Isothermic surfaces; isothermal coordinates; isothermic coordinates; isothermic surfaces},
language = {eng},
number = {11},
pages = {1982-1993},
title = {Constructing isothermal curvature line coordinates on surfaces which admit them},
url = {http://eudml.org/doc/269099},
volume = {11},
year = {2013},
}
TY - JOUR
AU - Eugenio Aulisa
AU - Magdalena Toda
AU - Zeynep Kose
TI - Constructing isothermal curvature line coordinates on surfaces which admit them
JO - Open Mathematics
PY - 2013
VL - 11
IS - 11
SP - 1982
EP - 1993
AB - Isothermic parameterizations are synonyms of isothermal curvature line parameterizations, for surfaces immersed in Euclidean spaces. We provide a method of constructing isothermic coordinate charts on surfaces which admit them, starting from an arbitrary chart. One of the primary applications of this work consists of numerical algorithms for surface visualization.
LA - eng
KW - Isothermal coordinates; Isothermic coordinates; Isothermic surfaces; isothermal coordinates; isothermic coordinates; isothermic surfaces
UR - http://eudml.org/doc/269099
ER -
References
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- [4] Ivey T.A., Landsberg J.M., Cartan for Beginners, Grad. Stud. Math., 61, American Mathematical Society, Providence, 2003 Zbl1105.53001
- [5] Kose Z., Toda M., Aulisa E., Solving Bonnet problems to construct families of surfaces, Balkan J. Geom. Appl., 2011, 16(2), 70–80 Zbl1227.53006
- [6] Lee J.M., Manifolds and Differential Geometry, Grad. Stud. Math., 107, American Mathematical Society, Providence, 2009 Zbl1190.58001
- [7] Pressley A., Elementary Differential Geometry, 2nd ed., Springer Undergrad. Math. Ser., Springer, London, 2010 http://dx.doi.org/10.1007/978-1-84882-891-9 Zbl1191.53002
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