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b-Structures on Lie groups and Poisson reduction
(2022-02-11)
Article
Restricted access - publisher's policyMotivated by the group of Galilean transformations and the subgroup of Galilean transformations which fix time zero, we introduce the notion of a b-Lie group as a pair where G is a Lie group and H is a codimension-one Lie ... -
Two-dimensional Riemann problem for rigid representations on an elliptic curve
(2017-04-01)
Article
Open AccessWe consider a generalization of Riemann–Hilbert problem on elliptic curves. For a given elliptic curve and irreducible representation of free group with two generators we construct explicitly a semistable vector bundle of ... -
An inextensible model for the robotic manipulation of textiles
(2022-01-01)
Article
Open AccessWe introduce a new isometric strain model for the study of the dynamics of cloth garments in a moderate stress environment, such as robotic manipulation in the neighborhood of humans. This model treats textiles as surfaces ... -
An open set of 4×4 embeddable matrices whose principal logarithm is not a Markov generator
(Taylor & Francis, 2020-12-17)
Article
Open AccessA Markov matrix is embeddable if it can represent a homogeneous continuous-time Markov process. It is well known that if a Markov matrix has real and pairwise-different eigenvalues, then the embeddability can be determined ... -
The groupoid of finite sets is biinitial in the 2-category of rig categories
(2021-11-01)
Article
Restricted access - publisher's policyThe groupoid of finite sets has a “canonical” structure of a symmetric 2-rig with the sum and product respectively given by the coproduct and product of sets. This 2-rig ^ FSet is just one of the many non-equivalent ... -
A K-contact Lagrangian formulation for nonconservative field theories
(2021-06-01)
Article
Restricted access - publisher's policyDynamical systems with dissipative behaviour can be described in terms of contact manifolds and a modified version of Hamilton's equations. Dissipation terms can also be added to field equations, as showed in a recent paper ... -
Skinner–Rusk formalism for k-contact systems
(2022-02-01)
Article
Open AccessIn previous papers, a geometric framework has been developed to describe non-conservative field theories as a kind of modified Lagrangian and Hamiltonian field theories. This approach is that of k-contact Hamiltonian ... -
Regular local rings of dimension four and Gorenstein syzygetic prime ideals
(Elsevier, 2022-07-01)
Article
Restricted access - publisher's policyLet R be a Noetherian local ring. We prove that R is regular of dimension at most 4 if, and only if, every prime ideal, defining a Gorenstein quotient ring, is syzygetic. We deduce a characterization of these rings in terms ... -
Slope inequalities for fibrations of non-maximal Albanese dimension
(2021-06-15)
Article
Open AccessWe study and obtain Slope inequalities for fibred irregular varieties of non-maximal Albanese dimension. We give a comparison theorem between Clifford–Severi and Slope inequalities for this type of fibrations. We also ... -
The second-order problem for k-presymplectic Lagrangian field theories: application to the Einstein–Palatini model
(springer-Verlag, 2022-01-01)
Article
Open AccessIn general, the system of 2nd-order partial differential equations made of the Euler–Lagrange equations of classical field theories are not compatible for singular Lagrangians. This is the so-called second-order problem. ... -
Turing universality of the incompressible Euler equations and a conjecture of Moore
(2021-08-24)
Article
Restricted access - publisher's policyIn this article, we construct a compact Riemannian manifold of high dimension on which the time-dependent Euler equations are Turing complete. More precisely, the halting of any Turing machine with a given input is equivalent ... -
Integrable systems on singular symplectic manifolds: from local to global
(2021-09-22)
Article
Restricted access - publisher's policyIn this article, we consider integrable systems on manifolds endowed with symplectic structures with singularities of order one. These structures are symplectic away from a hypersurface where the symplectic volume goes ...
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