Abstract
We classify cohomogeneity one special Lagrangian submanifolds in the cotangent bundle of the sphere $S^n$ invariant under $SO(p) \times SO(n+1-p)$ with respect to the Stenzel metric and a Ricci-flat cone Kähler metric. Moreover, we describe the asymptotic behavior and singularities of such special Lagrangian submanifolds.
Citation
Kaname Hashimoto. Takashi Sakai. "Cohomogeneity one special Lagrangian submanifolds in the cotangent bundle of the sphere." Tohoku Math. J. (2) 64 (1) 141 - 169, 2012. https://doi.org/10.2748/tmj/1332767344
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