Add to ORKGIn this paper we consider the biharmonic curves on a surface. These curves are critical points of the bienergy functional, and generalize the harmonic curves (geodesics). We first find conditions on the Gaussian curvature of the surface along a nongeodesic biharmonic curve. Then we study biharmonic curves on a surface of revolution, giving the explicit solutions in the case of surfaces of revolution with constant Gaussian curvature
In this article we consider the Euler-Lagrange method associated to a suitable bilagrangian to study...
We introduce a hyperbolic Gauss map into the Poincare ́ disk for any surface in H²×R with regular ve...
We characterize the biharmonic curves in the special linear group (Formula presented.). In particula...
In this paper we consider the biharmonic curves on a surface. These curves are critical points of th...
We study the biharmonic curves on an invariant surface of a three-dimensional manifold generalizing ...
The only surface whose level curves of the Gauss curvature are nongeodesic biharmonic curves and suc...
Bu çalışmada IRn deki harmonik ortalama eğrilikîi eğriler ve yüzeyler ele alınmıştır. Bu tür eğriler...
We develop an essentially algebraic method to study biharmonic curves into an implicit surface. Alth...
Biharmonic maps between Riemannian manifolds are defined as critical points of the bienergy and gene...
In this paper, we study biharmonic curves according to parallel transport frame in E⁴. We give some ...
We construct biharmonic non-harmonic maps between Riemannian manifolds (M, g) and (N, h) by first ma...
We study geodesics on surfaces in the setting of classical differential geometry. We define the curv...
Neste trabalho estudamos essencialmente problemas relacionados aos conceitos de superfícies e curvas...
In this paper we prove that a constant mean curvature surface is proper-biharmonic in the unit Eucli...
“Nature uses as little as possible of anything ” (Kepler) This conviction of several centuries ago s...
In this article we consider the Euler-Lagrange method associated to a suitable bilagrangian to study...
We introduce a hyperbolic Gauss map into the Poincare ́ disk for any surface in H²×R with regular ve...
We characterize the biharmonic curves in the special linear group (Formula presented.). In particula...
In this paper we consider the biharmonic curves on a surface. These curves are critical points of th...
We study the biharmonic curves on an invariant surface of a three-dimensional manifold generalizing ...
The only surface whose level curves of the Gauss curvature are nongeodesic biharmonic curves and suc...
Bu çalışmada IRn deki harmonik ortalama eğrilikîi eğriler ve yüzeyler ele alınmıştır. Bu tür eğriler...
We develop an essentially algebraic method to study biharmonic curves into an implicit surface. Alth...
Biharmonic maps between Riemannian manifolds are defined as critical points of the bienergy and gene...
In this paper, we study biharmonic curves according to parallel transport frame in E⁴. We give some ...
We construct biharmonic non-harmonic maps between Riemannian manifolds (M, g) and (N, h) by first ma...
We study geodesics on surfaces in the setting of classical differential geometry. We define the curv...
Neste trabalho estudamos essencialmente problemas relacionados aos conceitos de superfícies e curvas...
In this paper we prove that a constant mean curvature surface is proper-biharmonic in the unit Eucli...
“Nature uses as little as possible of anything ” (Kepler) This conviction of several centuries ago s...
In this article we consider the Euler-Lagrange method associated to a suitable bilagrangian to study...
We introduce a hyperbolic Gauss map into the Poincare ́ disk for any surface in H²×R with regular ve...
We characterize the biharmonic curves in the special linear group (Formula presented.). In particula...