dc.contributor.author | Swagata Sarkar | |
dc.date.accessioned | 2010-04-13T06:38:54Z | |
dc.date.available | 2010-04-13T06:38:54Z | |
dc.date.issued | 2010 | |
dc.date.submitted | 2010 | |
dc.identifier.uri | https://dspace.imsc.res.in/xmlui/handle/123456789/176 | |
dc.description.abstract | Let f:Gn,k --> Gm,l be any continuous map between to distinct complex ( resp. quaternionic )Grassmann manifolds of the same dimension. It is shown that the degree of f is zero provided n, m are sufficiently large and l > or = 2. If the degree of f is + or - 1, it is shown that(m,l) + (n,k) and f is a homotopy equivalence. Also it is proved that the image under f* of elements of a set of algebra generators of H*(Gm,l ; Q)is determined upto a sign, + or -, if the degree of f is non-zero. | en_US |
dc.publisher.publisher | The Institute of Mathematical Sciences | |
dc.subject | Complex Grassmann Manifolds | en_US |
dc.subject | HBNI Th16 | en_US |
dc.title | Degrees of Maps between complex Grassmann Manifolds[HBNI Th16] | en_US |
dc.type.degree | Ph.D | en_US |
dc.type.institution | HBNI | en_US |
dc.description.advisor | Sankaran, P. | |
dc.description.pages | 44p. | en_US |
dc.type.mainsub | Mathematics | en_US |
dc.type.hbnibos | Mathematical Sciences |