Matteo Raffaelli

Georgia Institute of Technology — United States

Mathematics · Physical Sciences

3h-index16citations22works0.42yr avg
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Research Topics

Geometric Analysis and Curvature Flows(14), Advanced Numerical Analysis Techniques(7), Geometric and Algebraic Topology(5), Advanced Materials and Mechanics(5), Geometry and complex manifolds(5)

Publications22 total

The geometric Cauchy problem for constant-rank submanifolds
Pacific Journal of Mathematics·2025Open Access
Topology of closed asymptotic curves on negatively curved surfaces
Journal of Geometric Analysis·2025Open Access
$h$-Principles for smooth curves and knots with prescribed curvature
arXiv (Cornell University)·2025Open Access
Topology of closed asymptotic curves on negatively curved surfaces
arXiv (Cornell University)·2024Open Access
$h$-Principles for curves and knots of constant torsion
arXiv (Cornell University)·2024Open Access
Deformations of curves with constant curvature
arXiv (Cornell University)·2024Open Access
Existence of Optimal Flat Ribbons
Journal of Geometric Analysis·2024· 1 citedOpen Access
Interactive design of discrete Voss nets and simulation of their rigid foldings
Computer Aided Geometric Design·2024· 3 citedOpen Access
The geometric Cauchy problem for rank-one submanifolds
Communications in Analysis and Geometry·2024
Planar Pseudo-geodesics and Totally Umbilic Submanifolds
Journal of Geometric Analysis·2023Open Access
Total torsion of three-dimensional lines of curvature
Geometriae Dedicata·2023Open Access
Classification of Rank-One Submanifolds
Results in Mathematics·2023Open Access
Existence of optimal flat ribbons
arXiv (Cornell University)·2023Open Access
Curvature-adapted submanifolds of semi-Riemannian groups
International Journal of Mathematics·2023· 1 citedOpen Access
Fabricating lightweight ceramics by spraying clay on knitted structures
International Journal of Architectural Computing·2022· 3 cited
Nonrigidity of flat ribbons
Proceedings of the Royal Society of Edinburgh Section A Mathematics·2022· 2 citedOpen Access
Classification of rank-one submanifolds
arXiv (Cornell University)·2022Open Access
Curvature adapted submanifolds of bi-invariant Lie groups
arXiv (Cornell University)·2020Open Access
The geometry of generalized flat ribbons
2019
The geometric Cauchy problem for developable submanifolds
arXiv (Cornell University)·2018Open Access
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Frequent Co-authors

Mohammad Ghomi(5), Steen Markvorsen(2), Simon Blatt(2), Margarida Camarinha(2), Irina Markina(1), Martin Kilian(1), Georg Nawratil(1), Arvin Rasoulzadeh(1), Kiumars Sharifmoghaddam(1), Lukas Gosch(1), Julian Jauk(1), Hana Vašatko(1), Elizabeta Šamec(1), Stefan Rutzinger(1), Milena Stavrić(1), J. Bohr(1)