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Constant angle surfaces in the Heisenberg group
Johan Fastenakels, Marian Ioan Munteanu, Joeri Van der Veken
In this article we generalize the notion of constant angle surfaces in S^2 x R and H^2 x R to general Bianchi-Cartan-Vranceanu spaces, i.e. essentially to three-dimensional homogen…
Semi-basic 1-forms and Helmholtz conditions for the inverse problem of the calculus of variations
Ioan Bucataru, Matias F. Dahl
We use Frölicher-Nijenhuis theory to obtain global Helmholtz conditions, expressed in terms of a semi-basic 1-form, that characterize when a semispray is locally Lagrangian. We als…
Biharmonic submanifolds of
D. Fetcu, E. Loubeau, S. Montaldo +1
We give some general results on proper-biharmonic submanifolds of a complex space form and, in particular, of the complex projective space. These results are mainly concerned with…
Biharmonic Hypersurfaces in 4-Dimensional Space Forms
A. Balmuş, S. Montaldo, C. Oniciuc
We investigate proper biharmonic hypersurfaces with at most three distinct principal curvatures in space forms. We obtain the full classification of proper biharmonic hypersurfaces…
Constant Angle Surfaces in $\H^2\times \R$
Franki Dillen, Marian Ioan Munteanu
In this paper we classify constant angle surfaces in $\H^2\times\R$, where $\H^2$ is the hyperbolic plane.
Explicit formulas for biharmonic submanifolds in non-Euclidean 3-spheres
D. Fetcu, C. Oniciuc
We obtain the parametric equations of all biharmonic Legendre curves and Hopf cylinders in the 3-dimensional unit sphere endowed with the modified Sasakian structure defined by Tan…