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BIHARMONIC CURVES INTO QUADRICS

Published online by Cambridge University Press:  26 August 2014

S. MONTALDO  and
A. RATTO
S. MONTALDO
Affiliation:
Dipartimento di Matematica e Informatica, Università degli Studi di CagliariVia Ospedale 7209124 Cagliari, Italia e-mail: montaldo@unica.it; rattoa@unica.it
A. RATTO
Affiliation:
Dipartimento di Matematica e Informatica, Università degli Studi di CagliariVia Ospedale 7209124 Cagliari, Italia e-mail: montaldo@unica.it; rattoa@unica.it
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Abstract

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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.

Keywords

58E20
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 57 , Issue 1 , January 2015 , pp. 131 - 141
Copyright
Copyright © Glasgow Mathematical Journal Trust 2014 

References

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