| Title | MANIFOLDS ADMITTING A STRUCTURE OF FOUR DIMENTIONAL ALGEBRA OF AFFINORS |
| Publication Type | Journal Article |
| Year of Publication | 2016 |
| Authors | Hristov A, Kostadinov G |
| Journal | Annuaire de l’Université de Sofia “St. Kliment Ohridski”. Faculté de Mathématiques et Informatique |
| Volume | 103 |
| Pagination | 89-95 |
| ISSN | 0205-0808 |
| Keywords | affinely connected manifold, algebra of fiber-preserving operators, Four dimentional associative algebra |
| Abstract | The purpose of this note is to describe some properties of manifolds endowed with an almost tangent structure $T, T^2 = 0$ and an almost complex structure $J, J^2 = {−E}, E = id$. We consider a linear connection $\nabla$ on $N$, which is compatible with the algebraic structure, i.e. $\nabla J = 0, \nabla T = 0$. The existence of ideals in corresponding algebra implies the existence of autoparallel submanifolds of N. |
| 2010 MSC | 53C15, 58A30, 53C07 |
| Attachment | Size |
|---|---|
 103-089-095.pdf | 106.52 KB |