4 citations · 7 across the 4 of their papers we have counts for
5 papers · 1 filter
Vafa-Witten bound on the complex projective space
Hélène Davaux, Maung Min-Oo
We prove that the largest first eigenvalue of the Dirac operator among all hermitian metrics on the complex projective space of odd dimension , larger than the Fubini-Study metr…
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…
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…
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…