Add to ORKGWOS:000544809000004In Euclidean space, there exist four theorems which show that S-n sphere is not parallelizable for n not equal 1, 3, 7. While three of them are shown by using Bott theorem, the last one is shown by using Hurwitz-Radon numbers. In this paper, a theorem and the proof of this theorem about parallelization of spheres in semi-Euclidean space is given. It is presented that some spheres are parallelizable with respect to specific number systems.TUBITAK (The Scientific and Technological Research Council of Turkey)Turkiye Bilimsel ve Teknolojik Arastirma Kurumu (TUBITAK)The first and second authors would like to thank TUBITAK (The Scientific and Technological Research Council of Turkey) for their financial supports during his and ...
Abstract. A collection of n balls in d dimensions forms a k-ply system if no point in the space is c...
Finding the intersection of \(n\)-dimensional spheres in \(\mathbb{R}^{n}\) is an interesting probl...
In this work, we introduce the concept of parallelizability for semidynamical systems. We study topo...
Summary.- A classical theorem of Kervaire states that products of spheres are parallelizable if and ...
A classical theoremof Kervaire states that products of spheres are parallelizable if and only if at ...
By using tensor analysis we give an alternative proof of Hurwitz theorem. In contrast to the doublin...
Abstract. The multiplication problem for spheres is to determine which spheres in Euclidean space Sn...
We prove a conjecture formulated by Pablo M. Chacon and Guillermo A. Lobos in [4] stating that every...
htmlabstractThe kissing number in n-dimensional Euclidean space is the maximal number of non-overlap...
The present paper mainly deals with construction and investigation further properties of semi-parall...
Abstract. Parallel submanifolds in pseudo-Euclidean spaces are characterized locally by the system ∇...
International audienceWe survey Kirchhoff's classical construction of parallelisms on spheres, induc...
In the first paper with the same title the authors were able to determine all partially oriented fla...
Finding the intersection of n -dimensional spheres in Rn is an interesting problem with applications...
The thirteen spheres problem asks if 13 equal-size non-overlapping spheres in three dimensions can s...
Abstract. A collection of n balls in d dimensions forms a k-ply system if no point in the space is c...
Finding the intersection of \(n\)-dimensional spheres in \(\mathbb{R}^{n}\) is an interesting probl...
In this work, we introduce the concept of parallelizability for semidynamical systems. We study topo...
Summary.- A classical theorem of Kervaire states that products of spheres are parallelizable if and ...
A classical theoremof Kervaire states that products of spheres are parallelizable if and only if at ...
By using tensor analysis we give an alternative proof of Hurwitz theorem. In contrast to the doublin...
Abstract. The multiplication problem for spheres is to determine which spheres in Euclidean space Sn...
We prove a conjecture formulated by Pablo M. Chacon and Guillermo A. Lobos in [4] stating that every...
htmlabstractThe kissing number in n-dimensional Euclidean space is the maximal number of non-overlap...
The present paper mainly deals with construction and investigation further properties of semi-parall...
Abstract. Parallel submanifolds in pseudo-Euclidean spaces are characterized locally by the system ∇...
International audienceWe survey Kirchhoff's classical construction of parallelisms on spheres, induc...
In the first paper with the same title the authors were able to determine all partially oriented fla...
Finding the intersection of n -dimensional spheres in Rn is an interesting problem with applications...
The thirteen spheres problem asks if 13 equal-size non-overlapping spheres in three dimensions can s...
Abstract. A collection of n balls in d dimensions forms a k-ply system if no point in the space is c...
Finding the intersection of \(n\)-dimensional spheres in \(\mathbb{R}^{n}\) is an interesting probl...
In this work, we introduce the concept of parallelizability for semidynamical systems. We study topo...