BIHARMONIC CURVES INTO QUADRICS
Glasgow mathematical journal, Tome 57 (2015) no. 1, pp. 131-141
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We develop an essentially algebraic method to study biharmonic curves into an implicit surface. Although our method is rather general, it is especially suitable to study curves in surfaces defined by a polynomial equation: In particular, we use it to give a complete classification of biharmonic curves in real quadrics of the three-dimensional Euclidean space.
MONTALDO, S.; RATTO, A. BIHARMONIC CURVES INTO QUADRICS. Glasgow mathematical journal, Tome 57 (2015) no. 1, pp. 131-141. doi: 10.1017/S0017089514000172
@article{10_1017_S0017089514000172,
author = {MONTALDO, S. and RATTO, A.},
title = {BIHARMONIC {CURVES} {INTO} {QUADRICS}},
journal = {Glasgow mathematical journal},
pages = {131--141},
year = {2015},
volume = {57},
number = {1},
doi = {10.1017/S0017089514000172},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089514000172/}
}
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