Add to ORKGIn this article a relation between curvature functionals for surfaces in the Euclidean space and area functionals in relative differential geometry will be given. Relative differential geometry can be described as the geometry of surfaces in the affine space, endowed with a distinguished “relative normal vector field ” which generalises the notio
While in Euclidean, equiaffine or centroaffine differential geometry there exists a unique, distingu...
Abstract In this paper, we give a generalization of normal curves to n-dimensional Euclidean space. ...
There are two sets of contrasting perspectives in di erential geometry: local vs. global and intrins...
In dieser Arbeit beschäftigen wir uns mit Themen aus der affinen Hyperflächentheorie. Nachdem wir di...
Tangent curves are a powerful tool for analyzing and visualizing vector fields. In this paper two of...
summary:The paper presents the deduction of the equations of surfaces between the principal curvatur...
AbstractGiven two functions defined on an open subset of the unit sphere in R3, we answer the follow...
AbstractTwo complete classifications are given: (a) relative surfaces with isoparametric relative sh...
In this study, we work on the surfaces determined in relation to associated curves. We study normal ...
Curvature is fundamental to the study of differential geometry. It describes different geometrical a...
In this study, we define the generalized normal ruled surface of a curve in the Euclidean 3-space E3...
International audienceThis paper proposes a new mathematical and computational tool for infering the...
In this paper, we define a ruled surface normal to a surface along a curve on the surface. Then, we ...
This book is intended for advanced students and young researchers interested in the analysis of part...
Attempts have been made to introduce ruled surfaces generated from any vector X, Bishop Darboux vect...
While in Euclidean, equiaffine or centroaffine differential geometry there exists a unique, distingu...
Abstract In this paper, we give a generalization of normal curves to n-dimensional Euclidean space. ...
There are two sets of contrasting perspectives in di erential geometry: local vs. global and intrins...
In dieser Arbeit beschäftigen wir uns mit Themen aus der affinen Hyperflächentheorie. Nachdem wir di...
Tangent curves are a powerful tool for analyzing and visualizing vector fields. In this paper two of...
summary:The paper presents the deduction of the equations of surfaces between the principal curvatur...
AbstractGiven two functions defined on an open subset of the unit sphere in R3, we answer the follow...
AbstractTwo complete classifications are given: (a) relative surfaces with isoparametric relative sh...
In this study, we work on the surfaces determined in relation to associated curves. We study normal ...
Curvature is fundamental to the study of differential geometry. It describes different geometrical a...
In this study, we define the generalized normal ruled surface of a curve in the Euclidean 3-space E3...
International audienceThis paper proposes a new mathematical and computational tool for infering the...
In this paper, we define a ruled surface normal to a surface along a curve on the surface. Then, we ...
This book is intended for advanced students and young researchers interested in the analysis of part...
Attempts have been made to introduce ruled surfaces generated from any vector X, Bishop Darboux vect...
While in Euclidean, equiaffine or centroaffine differential geometry there exists a unique, distingu...
Abstract In this paper, we give a generalization of normal curves to n-dimensional Euclidean space. ...
There are two sets of contrasting perspectives in di erential geometry: local vs. global and intrins...