Add to ORKGWe present a new method for finding the Frenet vectors and the curvatures of the transversal intersection curve of three implicit hypersurfaces by extending the method of Willmore into four-dimensional Euclidean space
In this paper, we study the differential geometry of the transversal intersection curve of two surfa...
We view conformal surfaces in the 4-sphere as quaternionic holomorphic curves in quaternionic projec...
In this paper, the available formulae for the curvature of plane curve are reviewed not only for the...
We present algorithms for computing the differential geometry properties of intersection Curves of t...
In this paper, we compute the Frenet vectors and the curvatures of the spacelike intersection curve ...
Abstract: We derive curvatures (k2, k3) for transversal intersections of intersection curves of (n −...
In this paper, by considering a Frenet curve lying on an oriented hypersurface, we extend the Darbou...
The conformal geometry of surfaces recently developed by the authors leads to a unified understandin...
We study curvature formulas and the fourth fundamental form IV of hypersurfaces in the four dimensio...
We study Willmore surfaces of constant Mobius curvature Kappa in S-4. It is proved that such a surfa...
We consider an astrohelicoidal hypersurface which its profile curve has astroid curve in the four d...
In this study, we define a variational field for constructing a family of Frenet curves of the lengt...
In this work, for regular involute-evolute curve couples, it is proven that evolute’s Frenet apparat...
In this paper we develop the theory of Willmore sequences for Willmore surfaces in the 4-sphere. We ...
For an immersed hypersurface f : M-n -> Rn+1 without umbilical points, one can define the Mobius ...
In this paper, we study the differential geometry of the transversal intersection curve of two surfa...
We view conformal surfaces in the 4-sphere as quaternionic holomorphic curves in quaternionic projec...
In this paper, the available formulae for the curvature of plane curve are reviewed not only for the...
We present algorithms for computing the differential geometry properties of intersection Curves of t...
In this paper, we compute the Frenet vectors and the curvatures of the spacelike intersection curve ...
Abstract: We derive curvatures (k2, k3) for transversal intersections of intersection curves of (n −...
In this paper, by considering a Frenet curve lying on an oriented hypersurface, we extend the Darbou...
The conformal geometry of surfaces recently developed by the authors leads to a unified understandin...
We study curvature formulas and the fourth fundamental form IV of hypersurfaces in the four dimensio...
We study Willmore surfaces of constant Mobius curvature Kappa in S-4. It is proved that such a surfa...
We consider an astrohelicoidal hypersurface which its profile curve has astroid curve in the four d...
In this study, we define a variational field for constructing a family of Frenet curves of the lengt...
In this work, for regular involute-evolute curve couples, it is proven that evolute’s Frenet apparat...
In this paper we develop the theory of Willmore sequences for Willmore surfaces in the 4-sphere. We ...
For an immersed hypersurface f : M-n -> Rn+1 without umbilical points, one can define the Mobius ...
In this paper, we study the differential geometry of the transversal intersection curve of two surfa...
We view conformal surfaces in the 4-sphere as quaternionic holomorphic curves in quaternionic projec...
In this paper, the available formulae for the curvature of plane curve are reviewed not only for the...