7 citations · 10 across the 4 of their papers we have counts for
5 papers
Calibrated Geometry in Hyperkahler Cones, 3-Sasakian Manifolds, and Twistor Spaces
Benjamin Aslan, Spiro Karigiannis, Jesse Madnick
We systematically study calibrated geometry in hyperkähler cones , their 3-Sasakian links , and the corresponding twistor spaces , emphasizing the rel…
On manifolds with cohomogeneity two symmetry
Benjamin Aslan, Federico Trinca
We consider manifolds with a cohomogeneity two symmetry group. We give a local characterization of these manifolds and we describe the geo…
Special Lagrangians in nearly Kähler
Benjamin Aslan
This article explores special Lagrangian submanifolds in , viewed as a nearly Kähler manifold, from two different perspectives. Intrinsically, using a moving frame s…
Group invariant machine learning by fundamental domain projections
Benjamin Aslan, Daniel Platt, David Sheard
We approach the well-studied problem of supervised group invariant and equivariant machine learning from the point of view of geometric topology. We propose a novel approach using…
Transverse -holomorphic curves in nearly Kähler
Benjamin Aslan
-holomorphic curves in nearly Kähler are related to minimal surfaces in as well as associative submanifolds in . We introduce the class of tran…