3 papers
math.DG2025
Cohomology for linearized Ricci curvature
Roee Leder
The Ricci curvature equations are a central subject of study in geometry. However, in the smooth real case, their linear analysis is often confined to settings in which the backgro…
math.DG2025
Hodge Theory for Linearized Boundary-Value Problems on General Geometric Structures
Roee Leder
We develop a framework that systematically casts solvability and uniqueness conditions for linearized overdetermined boundary-value problems into cohomological terms. The theory is…
math.AP2023
Elliptic Pre-Complexes, Hodge-like Decompositions and Overdetermined Boundary-Value Problems
Raz Kupferman, Roee Leder
We solve a problem posed by Calabi more than 60 years ago, known as the Saint-Venant compatibility problem: Given a compact Riemannian manifold, generally with boundary, find a com…