4 citations · 10 across the 4 of their papers we have counts for
4 papers
Special Lagrangians of cohomogeneity one in the resolved conifold
Marianty Ionel, Maung Min-Oo
In this paper, which is a natural continuation of our previous paper math.DG/0504557, we describe some special Lagrangians of cohomogeneity one in the resolved conifold. Our main r…
Cohomogeneity One Special Lagrangian Submanifolds in the Deformed Conifold
Marianty Ionel, Maung Min-Oo
In this paper we describe the cohomogeneity one special Lagrangian 3-folds in the cotangent bundle of the 3-sphere, also known in the physics literature as a deformed conifold. Our…
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…
Second Order Families of Special Lagrangian Submanifolds in C^4
Marianty Ionel
This paper extends to dimension 4 the results in the article "Second Order Families of Special Lagrangian 3-folds" by Robert Bryant. We consider the problem of classifying the spec…