works on
bridge principle 1calibrated geometry 1conical singularities 1geometric analysis 1special lagrangian geometry 1

From the 1 of 4 linked papers with an AI index.

collaborators

4 papers

math.DG2026

Special Lagrangians with multiple isolated singularities

Bryan Dimler, Filippo Gaia

The paper extends a perturbation technique to construct special Lagrangian submanifolds in \(\mathbb{C}^m\) that have multiple prescribed isolated conical singularities, using a br…

math.DG2025

Uniqueness in the Plateau problem for calibrated currents

Bryan Dimler, Chen-Kuan Lee

We show that every compactly supported smoothly calibrated integral current with connected boundary is the unique solution to the oriented Plateau problem for its bounda…

math.DG2025

Strict stability of calibrated cones

Bryan Dimler, Jooho Lee

We study the strict stability of calibrated cones with an isolated singularity. For special Lagrangian cones and coassociative cones, we prove the strict stability. In the complex…

math.DG2025

Minimal submanifolds with multiple isolated singularities

Bryan Dimler

We extend Smale's singular bridge principle [Ann. of Math. 130 (1989), 603-642] for -dimensional strictly stable minimal cones in ) to arbitrary co…