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math.DG2004★ 19 cited
Calibrated Sub-Bundles in Non-Compact Manifolds of Special Holonomy
Spiro Karigiannis, Maung Min-Oo
This paper is a continuation of math.DG/0408005. We first construct special Lagrangian submanifolds of the Ricci-flat Stenzel metric (of holonomy SU(n)) on the cotangent bundle of…
math.DG2004★ 4 cited
Bundle Constructions of Calibrated Submanifolds in R^7 and R^8
Marianty Ionel, Spiro Karigiannis, Maung Min-Oo
We construct calibrated submanifolds of R^7 and R^8 by viewing them as total spaces of vector bundles and taking appropriate sub-bundles which are naturally defined using certain s…