On degrees of maps between Grassmannians |
| |
| Authors: | Vimala Ramani Parameswaran Sankaran |
| |
| Institution: | (1) School of Mathematics, SPIC Science Foundation, 92, G. N. Chetty Road, 600017 Madras, India |
| |
| Abstract: | Let Gn,k denote the oriented grassmann manifold of orientedk-planes in ℝn. It is shown that for any continuous mapf: Gn,k → Gn,k, dim Gn,k = dim Gm,l = l(m −l), the Brouwer’s degree is zero, providedl > 1,n ≠ m. Similar results for continuous mapsg: ℂGm,l → ℂGn,k,h: ℍGm,l → ℍGn,k, 1 ≤ l < k ≤ n/2, k(n — k) = l(m — l) are also obtained. |
| |
| Keywords: | Grassmann manifolds Brouwer degree characteristic classes |
| 本文献已被 SpringerLink 等数据库收录！ |
|
