5 citations · 6 across the 5 of their papers we have counts for
5 papers
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…
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…
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…
On Saint-Venant compatibility and stress potentials in manifolds with boundary and constant sectional curvature
Raz Kupferman, Roee Leder
We address three related problems in the theory of elasticity, formulated in the framework of double forms: the Saint-Venant compatibility condition, the existence and uniqueness o…
Double forms: Regular elliptic bilaplacian operators
Raz Kupferman, Roee Leder
Double forms are sections of the vector bundles , where in this work is a compact Riemannian manifold w…