In this paper, for the congruences generated by the tangents to the lines of main curvature on a surface, necessary and su⁄cient conditions that the straight lines of these congruences are preserving the lines of curvature on their focal surfaces are derived and explained. Finally, two rectilinear congruences are introduced and investigated. 1
This paper is a short overview of the deducing of the pedal surfaces Pn+2n for the first order line ...
Curvature is fundamental to the study of differential geometry. It describes different geometrical a...
It is a classical result that surfaces made from a constant mean curvature (CMC) H surface by moving...
AbstractThe space of lines in R3 can be viewed as a four dimensional homogeneous space of the group ...
The purpose of this paper is to find the quantities and surfaces of a line congruence via examining ...
Biographical sketch.Thesis (PH.D.)--Johns Hopkins university.Mode of access: Internet
The aim of this article is to present and reformulate systematically what is known about surfaces in...
In this study, a new congruence[A••] has been definedby putting a tangent right conoid on each line ...
In this article we obtain a complete description of the congruences of lines in P^4 of order one pro...
In this study, a new congruence [A**] has been defined by putting a tangent right conoid on each lin...
"Reprinted from the Transactions of the American mathematical society, vol. 23, no. 4, June 1922.""P...
We introduce a class of surfaces in euclidean space motivated by a problem posed by Élie Cartan. Th...
In this article we obtain the classification of the congruences of lines with one-dimensional focal ...
Abstract: In this article we obtain the classi¯cation of the congruences of lines with one-dimension...
In this article we study congruences of lines in P^n, and in particular of order one. After giving g...
This paper is a short overview of the deducing of the pedal surfaces Pn+2n for the first order line ...
Curvature is fundamental to the study of differential geometry. It describes different geometrical a...
It is a classical result that surfaces made from a constant mean curvature (CMC) H surface by moving...
AbstractThe space of lines in R3 can be viewed as a four dimensional homogeneous space of the group ...
The purpose of this paper is to find the quantities and surfaces of a line congruence via examining ...
Biographical sketch.Thesis (PH.D.)--Johns Hopkins university.Mode of access: Internet
The aim of this article is to present and reformulate systematically what is known about surfaces in...
In this study, a new congruence[A••] has been definedby putting a tangent right conoid on each line ...
In this article we obtain a complete description of the congruences of lines in P^4 of order one pro...
In this study, a new congruence [A**] has been defined by putting a tangent right conoid on each lin...
"Reprinted from the Transactions of the American mathematical society, vol. 23, no. 4, June 1922.""P...
We introduce a class of surfaces in euclidean space motivated by a problem posed by Élie Cartan. Th...
In this article we obtain the classification of the congruences of lines with one-dimensional focal ...
Abstract: In this article we obtain the classi¯cation of the congruences of lines with one-dimension...
In this article we study congruences of lines in P^n, and in particular of order one. After giving g...
This paper is a short overview of the deducing of the pedal surfaces Pn+2n for the first order line ...
Curvature is fundamental to the study of differential geometry. It describes different geometrical a...
It is a classical result that surfaces made from a constant mean curvature (CMC) H surface by moving...