Article
Null Biminimal General Helices in the Lorentzian Heisenberg Group
Thai Journal of Mathematics Volume 01/2011; 9(1):127137.
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ABSTRACT: Biharmonic maps are the critical points of the bienergy functional and, from this point of view, generalise harmonic maps. We consider the Hopf map $\psi:\s^3\to \s^2$ and modify it into a nonharmonic biharmonic map $\phi:\s^3\to \s^3$. We show $\phi$ to be unstable and estimate its biharmonic index and nullity. Resolving the spectrum of the vertical Laplacian associated to the Hopf map, we recover Urakawa's determination of its harmonic index and nullity.Transactions of the American Mathematical Society 03/2004; · 1.02 Impact Factor  Communications on Pure and Applied Mathematics  COMMUN PURE APPL MATH. 01/1999; 52(9):11131137.
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