2 papers
math.DG2025
Calibrated submanifolds with flat normal bundles
W. Jacob Ogden
We show that submanifolds of Euclidean space which are calibrated by a constant-coefficient differential form and have flat normal bundles are planes. In fact, in a Riemannian mani…
math.AP2024
A constant rank theorem for special Lagrangian equations
W. Jacob Ogden, Yu Yuan
Constant rank theorems are obtained for saddle solutions to the special Lagrangian equation and the quadratic Hessian equation. The argument also leads to Liouville type results fo…