TY  - BOOK
AU  - Swagata Sarkar
TI  - Degrees of Maps between complex Grassmann Manifolds
PY  - 2010///
KW  - Mathematics
KW  - Complex Grassmann Manifolds
KW  - HBNI Th 16
N1  - 2010
N2  - 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
UR  - http://www.imsc.res.in/xmlui/handle/123456789/176
ER  -