summary:Necessary and sufficient conditions for the existence of two linearly independent sections in an 8-dimensional spin vector bundle over a CW-complex of the same dimension are given in terms of characteristic classes and a certain secondary cohomology operation. In some cases this operation is computed
We use classical obstruction theory \`{a} la Eilenberg-Steenrod to obtain a homotopy classification ...
AbstractE. Thomas in 1969 in a survey paper “Vector Fields on Manifolds” (loc. cit.) made several co...
Using gauge theory for Spin(7) manifolds of dimension 8, we develop a procedure, called Spin-rotatio...
summary:Necessary and sufficient conditions for the existence of two linearly independent sections i...
Let ξ be an oriented 8-dimensional vector bundle. We prove that the structure group SO(8) of ξ can b...
AbstractWe obtain a necessary and sufficient condition for an orientable n-plane bundle η over a man...
We prove that the existence of a Spin-structure on an oriented realvector bundle and the number of t...
summary:Necessary and sufficient conditions for the existence of $n$-dimensional oriented vector bun...
The paper is an overview of our results concerning the existence of various structures, especially c...
Abstract. Necessary and sufficient conditions for the existence of n-dimensional oriented vector bun...
We give an interpretation of the maximal number of linearly independent vector fields on spheres in ...
It is shown that the Spin(7)-invariant super Yang-Mills theory in euight dimensions, which relies on...
Tez (Yüksek Lisans) -- İstanbul Teknik Üniversitesi, Fen Bilimleri Enstitüsü, 2002Thesis (M.Sc.) -- ...
This thesis deals with partial results concerning the problem of existence of vector fields on spher...
The exceptional holonomy groups are G2 in 7 dimensions, and Spin(7) in 8 dimensions. In a previous p...
We use classical obstruction theory \`{a} la Eilenberg-Steenrod to obtain a homotopy classification ...
AbstractE. Thomas in 1969 in a survey paper “Vector Fields on Manifolds” (loc. cit.) made several co...
Using gauge theory for Spin(7) manifolds of dimension 8, we develop a procedure, called Spin-rotatio...
summary:Necessary and sufficient conditions for the existence of two linearly independent sections i...
Let ξ be an oriented 8-dimensional vector bundle. We prove that the structure group SO(8) of ξ can b...
AbstractWe obtain a necessary and sufficient condition for an orientable n-plane bundle η over a man...
We prove that the existence of a Spin-structure on an oriented realvector bundle and the number of t...
summary:Necessary and sufficient conditions for the existence of $n$-dimensional oriented vector bun...
The paper is an overview of our results concerning the existence of various structures, especially c...
Abstract. Necessary and sufficient conditions for the existence of n-dimensional oriented vector bun...
We give an interpretation of the maximal number of linearly independent vector fields on spheres in ...
It is shown that the Spin(7)-invariant super Yang-Mills theory in euight dimensions, which relies on...
Tez (Yüksek Lisans) -- İstanbul Teknik Üniversitesi, Fen Bilimleri Enstitüsü, 2002Thesis (M.Sc.) -- ...
This thesis deals with partial results concerning the problem of existence of vector fields on spher...
The exceptional holonomy groups are G2 in 7 dimensions, and Spin(7) in 8 dimensions. In a previous p...
We use classical obstruction theory \`{a} la Eilenberg-Steenrod to obtain a homotopy classification ...
AbstractE. Thomas in 1969 in a survey paper “Vector Fields on Manifolds” (loc. cit.) made several co...
Using gauge theory for Spin(7) manifolds of dimension 8, we develop a procedure, called Spin-rotatio...