2 citations · 4 across the 14 of their papers we have counts for
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Geometric structures as variational objects, I
Gabriella Clemente
This note provides a variational description of the most basic differential geometric structures on a smooth manifold.
A curvature obstruction to integrability
Gabriella Clemente
The classical theory of -structures, which include almost-complex structures, explains the relationship between the curvature of compatible connections and integrability. This n…
Curvature, integrability, and the six sphere
Gabriella Clemente
This note is about the interplay between the almost-hermitian and Riemannian geometries of a manifold. These geometries can be seen to interact through curvature. The main result i…
An extended Kodaira Spencer functional
Gabriella Clemente
This note is about an extension of the Kodaira-Spencer functional to Calabi-Yau manifolds of any dimension.
Complex structures as critical points
Gabriella Clemente
This note aims at obtaining a variational characterization of complex structures by means of a calculus of variations for real vector bundle valued differential forms, and outlines…