River Chiang
Abstract
We use Hamiltonian actions to construct new (as opposed to ℝℙn and Tn) Lagrangian submanifolds of ℂℙn. First of all, a quotient of ℝℙ3 by the dihedral group D3 is a Lagrangian submanifold of ℂℙ3. Secondly, SU(n)/ℤn/ℤn are Lagrangian submanifolds of ⅜ℙn2−1.
OpenAlex reports 19 citations for this work. Citation counts describe recorded attention and do not establish research quality.
A contribution statement is not available in the OpenAlex record.
Method details are not available in the OpenAlex metadata.
Findings are not separately available in the OpenAlex metadata.
Limitations are not available in the OpenAlex metadata.
Application details are not available in the OpenAlex metadata.
We use Hamiltonian actions to construct new (as opposed to ℝℙn and Tn) Lagrangian submanifolds of ℂℙn. First of all, a quotient of ℝℙ3 by the dihedral group D3 is a Lagrangian submanifold of ℂℙ3. Secondly, SU(n)/ℤn/ℤn are Lagrangian submanifolds of ⅜ℙn2−1.
Key concepts: Submanifold, Mathematics, Lagrangian, Quotient, Pure mathematics, Dihedral group, Hamiltonian (control theory), Mathematical physics