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zbMath1044.53022MaRDI QIDQ2784274
Publication date: 22 April 2002
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Hamilton's equations (70H05) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Variational problems in applications to the theory of geodesics (problems in one independent variable) (58E10) Sub-Riemannian geometry (53C17)
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Introducing sub-Riemannian and sub-Finsler billiards ⋮ Strong Sard conjecture and regularity of singular minimizing geodesics for analytic sub-Riemannian structures in dimension 3 ⋮ Lipschitz homotopy groups of contact 3-manifolds ⋮ Asymptotic analysis for Hamilton-Jacobi-Bellman equations on Euclidean space ⋮ Global existence, exponential decay and blow-up in finite time for a class of finitely degenerate semilinear parabolic equations ⋮ Upper bound estimates of eigenvalues for Hörmander operators on non-equiregular sub-Riemannian manifolds ⋮ Analytic torsion of generic rank two distributions in dimension five ⋮ Systolic inequalities for compact quotients of Carnot groups with Popp's volume ⋮ Propagation of singularities for subelliptic wave equations ⋮ Sequence of induced Hausdorff metrics on Lie groups ⋮ Local geometric control of a certain mechanism with the growth vector \((4,7)\) ⋮ Heat and entropy flows in Carnot groups ⋮ Couplings in \(L^p\) distance of two Brownian motions and their Lévy area ⋮ Sub-Riemannian geometry and finite time thermodynamics. I: The stochastic oscillator ⋮ Aerodynamics of flying saucers ⋮ Bakry-Émery curvature and model spaces in sub-Riemannian geometry ⋮ A dynamical approach to the Sard problem in Carnot groups ⋮ Sub-Riemannian geometry and geodesics in Banach manifolds ⋮ Variational approach to the asymptotic mean-value property for the \(p\)-Laplacian on Carnot groups ⋮ Higher dimensional holonomy map for rules submanifolds in graded manifolds ⋮ Second variation formula and stability of exponentially subelliptic harmonic maps ⋮ On logarithmic Sobolev inequalities for the heat kernel on the Heisenberg group ⋮ Some differential complexes within and beyond parabolic geometry ⋮ Laplacians on smooth distributions as \(C^*\)-algebra multipliers ⋮ Branching geodesics in sub-Riemannian geometry ⋮ Conjugate points in the generalized Dido problem ⋮ Coadjoint orbits and time-optimal problems for step-2 free nilpotent Lie groups ⋮ Universal differentiability sets in Carnot groups of arbitrarily high step ⋮ A large family of projectively equivalent \(C^0\)-Finsler manifolds ⋮ Tubular neighborhoods in the sub-Riemannian Heisenberg groups ⋮ Topological and differential invariants of singularities of contact structure on a three-dimensional manifold ⋮ Variational formulas for submanifolds of fixed degree ⋮ Control homotopy of trajectories ⋮ Conjugate time in the sub-Riemannian problem on the Cartan group ⋮ Radial kinetic nonholonomic trajectories are Riemannian geodesics! ⋮ Periodic time-optimal controls on two-step free-nilpotent Lie groups ⋮ Unbendable rational curves of Goursat type and Cartan type ⋮ A cortical-inspired geometry for contour perception and motion integration ⋮ Asymptotic solution of a singularly perturbed optimal control problem related to the reconstruction of a defective curve ⋮ Coarse differentiation and quantitative nonembeddability for Carnot groups ⋮ Extension of chronological calculus for dynamical systems on manifolds ⋮ Controllability on infinite-dimensional manifolds: a Chow-Rashevsky theorem ⋮ Sub-Riemannian balls on the Heisenberg groups: an invariant volume ⋮ Hypoelliptic heat kernel over \(3\)-step nilpotent Lie groups ⋮ Bishop and Laplacian comparison theorems on three-dimensional contact sub-Riemannian manifolds with symmetry ⋮ Gauge transformations, twisted Poisson brackets and Hamiltonization of nonholonomic systems ⋮ \( \Gamma \)-convergence and homogenisation for a class of degenerate functionals ⋮ A multiplier theorem for sub-Laplacians with drift on Lie groups ⋮ On the regularity of abnormal minimizers for rank 2 sub-Riemannian structures ⋮ Geodesics in the Engel group with a sub-Lorentzian metric -- the space-like case ⋮ Bekollé-Bonami estimates on some pseudoconvex domains ⋮ An abnormal set for the \((2,3,5,8)\)-distribution ⋮ A simple proof of the Hardy inequality on Carnot groups and for some hypoelliptic families of vector fields ⋮ A bio-inspired geometric model for sound reconstruction ⋮ On \(\operatorname{G}_2\) and sub-Riemannian model spaces of step and rank three ⋮ A metric interpretation of the geodesic curvature in the Heisenberg group ⋮ Control sets of linear control systems on matrix groups and applications ⋮ Some extension results for nonlocal operators and applications ⋮ A Lagrangian approach to extremal curves on Stiefel manifolds ⋮ Geometric kinematic control of a spherical rolling robot ⋮ Reduction of a Hamilton-Jacobi equation for nonholonomic systems ⋮ \(L^1\)-Poincaré inequalities for differential forms on Euclidean spaces and Heisenberg groups ⋮ Cartan connections for stochastic developments on sub-Riemannian manifolds ⋮ Non coercive unbounded first order mean field games: the Heisenberg example ⋮ Global existence and blow-up in finite time for a class of finitely degenerate semilinear pseudo-parabolic equations ⋮ Estimates for operators related to the sub-Laplacian with drift in Heisenberg groups ⋮ Geometry of extended Bianchi-Cartan-Vranceanu spaces ⋮ From receptive profiles to a metric model of V1 ⋮ Stochastic completeness and gradient representations for Sub-Riemannian manifolds ⋮ Homogeneous sub-Riemannian geodesics on a group of motions of the plane ⋮ Fine properties of functions with bounded variation in Carnot-Carathéodory spaces ⋮ Oscillating about coplanarity in the 4 body problem ⋮ Small-time asymptotics of hypoelliptic heat kernels near the diagonal, nilpotentization and related results ⋮ The dual foliation of some singular Riemannian foliations ⋮ Polynomial and horizontally polynomial functions on Lie groups ⋮ Privileged coordinates and nilpotent approximation for Carnot manifolds. II: Carnot coordinates ⋮ Holomorphic distributions and connectivity by integral curves of distributions ⋮ Connections on bundles of horizontal frames associated with contact sub-pseudo-Riemannian manifolds ⋮ A cornucopia of Carnot groups in low dimensions ⋮ Schauder estimates at the boundary for sub-Laplacians in Carnot groups ⋮ Higher elastica: geodesics in jet space ⋮ H-type foliations ⋮ Isoperimetric and Poincaré inequalities on non-self-similar Sierpiński sponges: the borderline case ⋮ Integrability of left-invariant sub-Riemannian structures on the special linear group \(\mathrm{SL}_2(\mathbb R)\) ⋮ Shape deformation analysis from the optimal control viewpoint ⋮ Stable \(H\)-minimal hypersurfaces ⋮ Removable sets for Lipschitz harmonic functions on Carnot groups ⋮ Existence and multiplicity of solutions to Dirichlet problem for semilinear subelliptic equation with a free perturbation ⋮ Singularities of functions on the Martinet plane, constrained Hamiltonian systems and singular Lagrangians ⋮ Dirac structures in vakonomic mechanics ⋮ Variational formulas for curves of fixed degree ⋮ Complete inequivalence of nonholonomic and vakonomic mechanics ⋮ Sub-Riemannian Engel sphere ⋮ Generalized Bakry-Émery curvature condition and equivalent entropic inequalities in groups ⋮ Submanifolds of fixed degree in graded manifolds for perceptual completion ⋮ Intrinsic random walks and sub-Laplacians in sub-Riemannian geometry ⋮ Prolongations, invariants, and fundamental identities of geometric structures ⋮ From Strichartz Estimates to Differential Equations on Fractals ⋮ Spectral multipliers and wave equation for sub-Laplacians: lower regularity bounds of Euclidean type ⋮ Function spaces via fractional Poisson kernel on Carnot groups and applications ⋮ Local equivalence of some maximally symmetric rolling distributions and \(SU(2)\) Pfaffian systems ⋮ Failure of curvature-dimension conditions on sub-Riemannian manifolds via tangent isometries ⋮ Quantum limits of sub-Laplacians via joint spectral calculus ⋮ Almost multiplicity free subgroups of compact Lie groups and polynomial integrability of sub-Riemannian geodesic flows ⋮ Lipschitz regularity for solutions of the parabolic p-Laplacian in the Heisenberg group ⋮ Diameter and Laplace eigenvalue estimates for compact homogeneous Riemannian manifolds ⋮ Trajectories of affine control systems and geodesics of a spacetime with a causal Killing vector field ⋮ Hypoelliptic operators in geometry. Abstracts from the workshop held May 21--26, 2023 ⋮ On sub-Riemannian and Riemannian spaces associated to a Lorentzian manifold ⋮ Magnetic fields on non-singular 2-step nilpotent Lie groups ⋮ Existence of sub-Lorentzian longest curves ⋮ Higher order Goh conditions for singular extremals of corank 1
