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- W2951696134 abstract "We introduce O-systems (Definition ref{DO}) of orthogonal transformations of ${Bbb R}^{m}$, and establish $1-1$ correspondences both between equivalence classes of Clifford systems and that of O-systems, and between O-systems and orthogonal multiplications of the form $mu :{Bbb R}^{n} times {Bbb R}^{m} longrightarrow {Bbb R}^{m} $, which allow us to solve the existence problems both for O-systems and for umbilical quadratic harmonic morphisms (Theorems ref{ES} and ref{EU}) simultaneously. The existence problem for general quadratic harmonic morphisms is then solved (Theorem ref{EG}) by the Splitting Lemma (Lemma ref{Split}). We also study properties (see, e.g., Theorems ref{single} and ref{TL}) possessed by all quadratic harmonic morphisms for fixed pairs of domain and range spaces (S5)." @default.
- W2951696134 created "2019-06-27" @default.
- W2951696134 creator A5010070592 @default.
- W2951696134 date "1995-11-03" @default.
- W2951696134 modified "2023-09-27" @default.
- W2951696134 title "Quadratic harmonic morphisms and O-systems" @default.
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