COHOMOGENEITY ONE SPECIAL LAGRANGIAN SUBMANIFOLDS IN THE COTANGENT BUNDLE OF THE SPHERE

KANAME HASHIMOTO; TAKASHI SAKAI

doi:10.2748/tmj/1332767344

Tohoku Mathematical Journal, Second Series

Online ISSN : 2186-585X
Print ISSN : 0040-8735
ISSN-L : 0040-8735

COHOMOGENEITY ONE SPECIAL LAGRANGIAN SUBMANIFOLDS IN THE COTANGENT BUNDLE OF THE SPHERE

KANAME HASHIMOTO, TAKASHI SAKAI

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Keywords: Special Lagrangian submanifold, Calabi-Yau manifold, calibration, minimal submanifold

JOURNAL FREE ACCESS

2012 Volume 64 Issue 1 Pages 141-169

DOI https://doi.org/10.2748/tmj/1332767344

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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.

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