Quadratic forms between euclidean spheres
- Cite this article as:
- Yiu, P. Manuscripta Math (1994) 83: 171. doi:10.1007/BF02567607
We study the relationship between the dimensions of euclidean spheres which admit a nonconstant homogeneous quadratic map between them. Givenm (respectivelyn), we determine the least (respectively greatest) possible value ofn (respectivelym) for which there exists a nonconstant homogeneous quadratic mapSm→Sn.