63 citations · 476 across the 94 of their papers we have counts for
98 papers
Satellite Links with Multiple Full Twists and Single-Twist Companions
Thiago de Paiva, Yi Liu, Paolo Piccione
We study the relationship between the number of full twists in positive braid representations of satellite links and their companion links. We construct infinitely many satellite l…
Zoll manifolds with boundary
Eduardo Longa, Paolo Piccione, Roney Santos
We introduce and study Zoll manifolds with boundary: compact Riemannian manifolds with smooth boundary such that every geodesic issuing orthogonally from the boundary returns ortho…
Stable invariant manifold for generalized ODEs with applications to measure differential equations
Weijie Lu, Paolo Piccione, Yonghui Xia
This paper establishes the stable invariant manifold for a new kind of differential equations defined by Kurzweil integral, so-called {\em generalized ODEs} on a Banach space. The…
Parallel differential forms of codegree two, and three-forms in dimension six
Andrzej Derdzinski, Paolo Piccione, Ivo Terek
For a differential form on a manifold, having constant components in suitable local coordinates trivially implies being parallel relative to a torsion-free connection, and the conv…
A note on the regularity and the existence of Riemannian splines
Dario Corona, Roberto Giambò, Paolo Piccione
In this paper, we present a comprehensive proof concerning the regularity of critical points for the spline energy functional on Riemannian manifolds, even for the general higher-o…
Nijenhuis geometry of parallel tensors
Andrzej Derdzinski, Paolo Piccione, Ivo Terek
A tensor -- meaning here a tensor field of any type on a manifold -- may be called integrable if it is parallel relative to some torsion-free connection. We provide ana…