Quadratic forms between euclidean spheres |
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| Authors: | Paul Yiu |
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| Institution: | (1) Department of Mathematics, Florida Atlantic University, 33431 Boca Raton, Florida, USA |
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| Abstract: | 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 mapS
m
→S
n
.
Research partially supported by NSF DMS-9201204 |
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| Keywords: | |
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