We study curvature formulas and the fourth fundamental form IV of hypersurfaces in the four dimensional Euclidean geometry E4. We calculate fourth fundamental form and curvatures for hypersurfaces, and also for hypersphere. Moreover, we give some relations of fundamentals forms, and curvatures of hypersphere
This exposition provides the state-of-the art on the differential geometry of hypersurfaces in real,...
We present a new method for finding the Frenet vectors and the curvatures of the transversal interse...
In the present study, we deal with canal hypersurfaces according to extended Darboux frame field ...
We introduce the fourth fundamental form of the torus hypersurface in the four dimensional Euclidean...
We consider an astrohelicoidal hypersurface which its profile curve has astroid curve in the four d...
In this article we generalize some classical formulas for curvatures of hypersurfaces in the n-dimen...
We introduce the fourth fundamental form of a Dini-type helicoidal hypersurface in the four dimensio...
We completely classify constant mean curvature hypersurfaces (CMC) with con-stant δ-invariant in the...
We completely classify constant mean curvature hypersurfaces (CMC) with constant δ-invariant in the...
In this paper, by considering a Frenet curve lying on an oriented hypersurface, we extend the Darbou...
Abstract. The classication of isoparametric hypersurfaces with four principal curvatures in spheres ...
We investigate proper biharmonic hypersurfaces with at most three distinct principal curvatures in s...
Neste trabalho desenvolvemos o artigo "Conformally Flat Hypersurfaces in Euclidean 4- space II", de ...
Dupin hypersurfaces in five dimensional Euclidean space parametrized by lines of curvature, with fou...
AbstractWe describe some numerical invariants and their relation with the curvature ellipse attached...
This exposition provides the state-of-the art on the differential geometry of hypersurfaces in real,...
We present a new method for finding the Frenet vectors and the curvatures of the transversal interse...
In the present study, we deal with canal hypersurfaces according to extended Darboux frame field ...
We introduce the fourth fundamental form of the torus hypersurface in the four dimensional Euclidean...
We consider an astrohelicoidal hypersurface which its profile curve has astroid curve in the four d...
In this article we generalize some classical formulas for curvatures of hypersurfaces in the n-dimen...
We introduce the fourth fundamental form of a Dini-type helicoidal hypersurface in the four dimensio...
We completely classify constant mean curvature hypersurfaces (CMC) with con-stant δ-invariant in the...
We completely classify constant mean curvature hypersurfaces (CMC) with constant δ-invariant in the...
In this paper, by considering a Frenet curve lying on an oriented hypersurface, we extend the Darbou...
Abstract. The classication of isoparametric hypersurfaces with four principal curvatures in spheres ...
We investigate proper biharmonic hypersurfaces with at most three distinct principal curvatures in s...
Neste trabalho desenvolvemos o artigo "Conformally Flat Hypersurfaces in Euclidean 4- space II", de ...
Dupin hypersurfaces in five dimensional Euclidean space parametrized by lines of curvature, with fou...
AbstractWe describe some numerical invariants and their relation with the curvature ellipse attached...
This exposition provides the state-of-the art on the differential geometry of hypersurfaces in real,...
We present a new method for finding the Frenet vectors and the curvatures of the transversal interse...
In the present study, we deal with canal hypersurfaces according to extended Darboux frame field ...