4 citations · 10 across the 6 of their papers we have counts for
7 papers
Austere Submanifolds in Complex Projective Space
Marianty Ionel, Thomas A. Ivey
For an arbitrary submanifold we determine conditions under which it is austere, i.e., the normal bundle of is special Lagrangian with respect to Stenz…
Ruled Austere Submanifolds of Dimension Four
Marianty Ionel, Thomas Ivey
We classify 4-dimensional austere submanifolds in Euclidean space ruled by 2-planes. The algebraic possibilities for second fundamental forms of an austere 4-fold M were classified…
Austere Submanifolds of Dimension Four: Examples and Maximal Types
Marianty Ionel, Thomas Ivey
Austere submanifolds in Euclidean space were introduced by Harvey and Lawson in connection with their study of calibrated geometries. The algebraic possibilities for second fundame…
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…