Add to ORKGIn a unified way, we study the generalized analogues of conics for normed planes by using the following natural approach: It is well known that there are different metrical definitions of conics in the Euclidean plane. We investigate how these definitions extend to normed planes, and we show that in this more general framework these different definitions yield, in almost all cases, different classes of curves.peerReviewe
In this paper, we introduce discrete conics, polygonal analogues of conics. We show that discrete co...
Abstract: This paper gives a complete classification of conics in PE2(R). The classification has bee...
We study some Riemannian metrics on the space of regular smooth curves in the plane, viewed as the o...
We study basic geometric properties of metric ellipses, hyperbolas, and parabolas in normed (or Mink...
The book is devoted to the properties of conics (plane curves of second degree) that can be formulat...
We present a geometric definition of conic sections in the oriented projective plane and describe so...
Conics are undoubtedly one of the most studied objects in geometry. Throughout history different def...
In this dissertation we study basic metrical properties of 2-dimensional normed linear spaces, so-ca...
This thesis introduces the conics and their occurrence, ,,around us". It also refers to the intercon...
Scattered through the field of elementary mathematics there are a number of conics which have receiv...
The Euclidean Distance Degree (EDD) of a variety is the number of critical points of the squared dis...
This text presents the classical theory of conics in a modern form. It includes many novel results t...
Abstract In this paper, we give a generalization of normal curves to n-dimensional Euclidean space. ...
AbstractFor each finite set of points in the Euclidean plane, and for each type of conic section—ell...
In this note, we completely describe the shape of the bisector of two given points in a two-dimensio...
In this paper, we introduce discrete conics, polygonal analogues of conics. We show that discrete co...
Abstract: This paper gives a complete classification of conics in PE2(R). The classification has bee...
We study some Riemannian metrics on the space of regular smooth curves in the plane, viewed as the o...
We study basic geometric properties of metric ellipses, hyperbolas, and parabolas in normed (or Mink...
The book is devoted to the properties of conics (plane curves of second degree) that can be formulat...
We present a geometric definition of conic sections in the oriented projective plane and describe so...
Conics are undoubtedly one of the most studied objects in geometry. Throughout history different def...
In this dissertation we study basic metrical properties of 2-dimensional normed linear spaces, so-ca...
This thesis introduces the conics and their occurrence, ,,around us". It also refers to the intercon...
Scattered through the field of elementary mathematics there are a number of conics which have receiv...
The Euclidean Distance Degree (EDD) of a variety is the number of critical points of the squared dis...
This text presents the classical theory of conics in a modern form. It includes many novel results t...
Abstract In this paper, we give a generalization of normal curves to n-dimensional Euclidean space. ...
AbstractFor each finite set of points in the Euclidean plane, and for each type of conic section—ell...
In this note, we completely describe the shape of the bisector of two given points in a two-dimensio...
In this paper, we introduce discrete conics, polygonal analogues of conics. We show that discrete co...
Abstract: This paper gives a complete classification of conics in PE2(R). The classification has bee...
We study some Riemannian metrics on the space of regular smooth curves in the plane, viewed as the o...