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math.DG2019★ 2 cited
Automorphism Groups of nilpotent Lie algebras associated to certain graphs
Debraj Chakrabarti, Meera Mainkar, Savannah Swiatlowski
We consider a family of 2-step nilpotent Lie algebras associated to uniform complete graphs on odd number of vertices. We prove that the symmetry group of such a graph is the holom…
math.DG2017★ 1 cited
Curves of Constant Curvature and Torsion in the 3-Sphere
Debraj Chakrabarti, Rahul Sahay, Jared Williams
We describe the curves of constant (geodesic) curvature and torsion in the three-dimensional round sphere. These curves are the trajectory of a point whose motion is the superposit…