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math.DG2026
Sharp partial regularity of Hamiltonian stationary and special Lagrangian graphs
Arunima Bhattacharya, Gerard Orriols, Anna Skorobogatova
We prove a sharp partial regularity result for Hamiltonian stationary Lagrangian Lipschitz submanifolds in arbitrary smooth almost Kähler manifolds: every weak solution of the corr…
math.DG2025
Minimizing the Gauss map area of surfaces in
Gerard Orriols, Tristan Rivière
We establish the lower bound of for the area of the Gauss map of any immersion of a closed oriented surface of genus into , taking values in the Grassma…
math.DG2023
A Variational Construction of Hamiltonian Stationary Surfaces with Isolated Schoen-Wolfson Conical Singularities
Filippo Gaia, Gerard Orriols, Tristan Rivière
We construct using variational methods Hamiltonian Stationary Surfaces with Isolated Schoen-Wolfson Conical Singularities. We obtain these surfaces through a convergence process re…