Minimal submanifolds of $E^ {2n+1}$ arising from degenerate $\textrm {SO} (3)$ orbits on the Grassmannian
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- by J. M. Landsberg PDF
- Trans. Amer. Math. Soc. 325 (1991), 101-117 Request permission
Abstract:
We give new examples of minimal submanifolds of ${{\mathbf {E}}^{2n + 1}}$ characterised by having their Gauss mapβs image lie in degenerate $SO(3)$ orbits of ${G_{p,2n + 1}}$, the Grassmannian of $p$-planes in ${{\mathbf {E}}^{2n + 1}}$ (where the action on ${G_{p,2n + 1}}$ is induced from the irreducible $SO(3)$ action on ${{\mathbf {R}}^{2n + 1}}$). These submanifolds are all given explicitly in terms of holomorphic data and are linearly full in ${{\mathbf {E}}^{2n + 1}}$.References
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Additional Information
- © Copyright 1991 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 325 (1991), 101-117
- MSC: Primary 53C42; Secondary 58E20
- DOI: https://doi.org/10.1090/S0002-9947-1991-1012515-5
- MathSciNet review: 1012515