Osculating circle and osculating sphere have been studied in classical differential geometry [1]. In this article the osculating curves and surfaces of higher order of plane and space curves in Euclidean n-space (n = 2, 3) is considered. We study the intrinsic differential geometry of curves by analyzing their contact with curves and surfaces of higher order
This carefully written book is an introduction to the beautiful ideas and results of differential ge...
This book is a posthumous publication of a classic by Prof. Shoshichi Kobayashi, who taught at U.C. ...
We consider the contact between curves and horospheres in Hyperbolic 3-space as an application of si...
Oosculating sphere have been studied in classical differential geometry [1]. In this article the osc...
Oscurating surfaces of second order have been studied in classical differential geometry [1]. In thi...
Osculating surfaces of second order have been studied in classical affine differential geometry [1]....
In this paper, we give a generalization of the osculating curves to the n-dimensional Euclidean spac...
In this paper, we give some characterization for a osculating curve in 3-dimensional Euclidean space...
This book presents the classical theory of curves in the plane and three-dimensional space, and the ...
Theorems of standard differential geometry are usually stated under strong sufficient conditions. In...
We introduce a new class of surfaces in Euclidean 3-space, called surfaces of osculating circles, us...
In this article the differential geometry of intersection curve of two surfaces in the three dimensi...
We study geodesics on surfaces in the setting of classical differential geometry. We define the curv...
We define new special curves in Euclidean 3-space which we call slant helices and conical geodesic c...
We construct a developable surface tangent to a surface along a curve on the surface. We call this s...
This carefully written book is an introduction to the beautiful ideas and results of differential ge...
This book is a posthumous publication of a classic by Prof. Shoshichi Kobayashi, who taught at U.C. ...
We consider the contact between curves and horospheres in Hyperbolic 3-space as an application of si...
Oosculating sphere have been studied in classical differential geometry [1]. In this article the osc...
Oscurating surfaces of second order have been studied in classical differential geometry [1]. In thi...
Osculating surfaces of second order have been studied in classical affine differential geometry [1]....
In this paper, we give a generalization of the osculating curves to the n-dimensional Euclidean spac...
In this paper, we give some characterization for a osculating curve in 3-dimensional Euclidean space...
This book presents the classical theory of curves in the plane and three-dimensional space, and the ...
Theorems of standard differential geometry are usually stated under strong sufficient conditions. In...
We introduce a new class of surfaces in Euclidean 3-space, called surfaces of osculating circles, us...
In this article the differential geometry of intersection curve of two surfaces in the three dimensi...
We study geodesics on surfaces in the setting of classical differential geometry. We define the curv...
We define new special curves in Euclidean 3-space which we call slant helices and conical geodesic c...
We construct a developable surface tangent to a surface along a curve on the surface. We call this s...
This carefully written book is an introduction to the beautiful ideas and results of differential ge...
This book is a posthumous publication of a classic by Prof. Shoshichi Kobayashi, who taught at U.C. ...
We consider the contact between curves and horospheres in Hyperbolic 3-space as an application of si...
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