scientific article; zbMATH DE number 2038305

Publication date: 4 February 2004

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

Exterior differential systems (Cartan theory) (58A15) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to differential geometry (53-01) Connections (general theory) (53C05) Projective differential geometry (53A20) (G)-structures (53C10) Equivalence and asymptotic equivalence of ordinary differential equations (34C41)

Related Items

Frobenius Integrability, Automotive Blind Spots, Non-reversing Mirrors, and Panoramic Mirrors ⋮ Unnamed Item ⋮ A note on induced connections ⋮ Parametric Bäcklund transformations I: Phenomenology ⋮ Parametric quantified SAT solving ⋮ A method for semi-rectifying algebraic and differential systems using scaling type lie point symmetries with linear algebra ⋮ Absolute factoring of non-holonomic ideals in the plane ⋮ Algorithms for Bernstein--Sato polynomials and multiplier ideals ⋮ Global optimization of polynomials using generalized critical values and sums of squares ⋮ A Slice algorithm for corners and Hilbert-Poincaré series of monomial ideals ⋮ Composition collisions and projective polynomials ⋮ Decomposition of generic multivariate polynomials ⋮ Chebyshev interpolation polynomial-based tools for rigorous computing ⋮ Blind image deconvolution via fast approximate GCD ⋮ Polynomial integration on regions defined by a triangle and a conic ⋮ Computing the singularities of rational space curves ⋮ Solving schubert problems with Littlewood-Richardson homotopies ⋮ When can we detect that a P-finite sequence is positive? ⋮ Complexity of creative telescoping for bivariate rational functions ⋮ Partial denominator bounds for partial linear difference equations ⋮ Real and complex polynomial root-finding with eigen-solving and preprocessing ⋮ Computing the radius of positive semidefiniteness of a multivariate real polynomial via a dual of Seidenberg's method ⋮ Random polynomials and expected complexity of bisection methods for real solving ⋮ The DMM bound ⋮ Solving Bezout-like polynomial equations for the design of interpolatory subdivision schemes ⋮ Computing loci of rank defects of linear matrices using Gröbner bases and applications to cryptology ⋮ Output-sensitive decoding for redundant residue systems ⋮ A Strassen-like matrix multiplication suited for squaring and higher power computation ⋮ Computing specified generators of structured matrix inverses ⋮ Yet another block Lanczos algorithm ⋮ Liouvillian solutions of irreducible second order linear difference equations ⋮ Solving recurrence relations using local invariants ⋮ On some decidable and undecidable problems related to q-difference equations with parameters ⋮ Iterative Toom-Cook methods for very unbalanced long integer multiplication ⋮ An in-place truncated fourier transform and applications to polynomial multiplication ⋮ Randomized NP-completeness for p -adic rational roots of sparse polynomials in one variable ⋮ Easy composition of symbolic computation software ⋮ Symbolic integration at compile time in finite element methods ⋮ On the Geometry of Border Rank Decompositions for Matrix Multiplication and Other Tensors with Symmetry ⋮ Geometry and the complexity of matrix multiplication ⋮ Invariants: Computation and Applications ⋮ Concentration estimates for algebraic intersections ⋮ On a generalization of Monge-Ampère equations and Monge-Ampère systems ⋮ Bi-Hamiltonian structure of a unit geodesic vector field on a 3D space of constant negative curvature ⋮ Extendibility and boundedness of invariants on singularities of wavefronts ⋮ Recognizing the $\mathsf{G}_2$-horospherical manifold of Picard number 1 by varieties of minimal rational tangents ⋮ Symmetries of the gas dynamics equations using the differential form method ⋮ Singularities of parallels to tangent developable surfaces ⋮ The algebra of parallel endomorphisms of a pseudo-Riemannian metric: semi-simple part ⋮ Darboux integrability for diagonal systems of hydrodynamic type ⋮ A twistor construction of Hopf real hypersurfaces in complex hyperbolic space ⋮ Hyperband distribution equipped with a field of conjugate planes ⋮ Structure results for the integral set of a submanifold with respect to a non-integrable exterior differential system ⋮ Linear frames as orbits of projective frames ⋮ Chern–Simons field theory on the general affine group, 3d-gravity and the extension of Cartan connections ⋮ Entanglement of four-qubit systems: A geometric atlas with polynomial compass II (the tame world) ⋮ Unified formalism for Palatini gravity ⋮ Special birational transformations of type (2,1) ⋮ A VARIATIONAL PROBLEM FOR CURVES ON FINSLER SURFACES ⋮ Weyl metrisability of two-dimensional projective structures ⋮ Emergent metric and geodesic analysis in cosmological solutions of (torsion-free) polynomial affine gravity ⋮ Entanglement of four qubit systems: A geometric atlas with polynomial compass I (the finite world) ⋮ Involutive tableaux, characteristic varieties, and rank-one varieties in the geometric study of PDEs ⋮ Triangular decomposition of semi-algebraic systems ⋮ The border rank of the multiplication of $2\times 2$ matrices is seven ⋮ Method for Solving the Multidimensional n-Wave Resonant Equations and Geometry of Generalized Darboux-Manakov-Zakharov Systems ⋮ The Hilbert Lagrangian and isometric embedding: Tetrad formulation of Regge–Teitelboim gravity ⋮ NumGfun ⋮ Cartan connections and path structures with large automorphism groups ⋮ Lie algebroids and Cartan’s method of equivalence ⋮ Particulate exotica ⋮ 3-webs with singularities ⋮ Hopf hypersurfaces of small Hopf principal curvature in ${\mathbb{C}{\text H}^2}$ ⋮ A characterisation of smooth maps into a homogeneous space ⋮ Burgers' equations in the Riemannian geometry associated with first-order differential equations ⋮ CR submanifolds with vanishing second fundamental forms ⋮ Invariant submanifolds for systems of vector fields of constant rank ⋮ A geometric theory of nonlinear morphoelastic shells ⋮ A solvable string on a Lorentzian surface ⋮ The fundamental theorem of Legendrian submanifolds in the Heisenberg group ⋮ Threefolds with one apparent double point ⋮ Local isometric immersions of pseudospherical surfaces described by evolution equations in conservation law form ⋮ Bäcklund transformations and Darboux integrability, revisited ⋮ Characterization of Calabi-Yau variations of Hodge structure over tube domains by characteristic forms ⋮ Reduction of five-dimensional uniformly Levi degenerate CR structures to absolute parallelisms ⋮ Developable cubics in $\mathbb{P}^4$ and the Lefschetz locus in $\operatorname{GOR}(1, 5, 5, 1)$ ⋮ Differential geometric aspects of causal structures ⋮ A fundamental theorem for hypersurfaces in semi-Riemannian warped products ⋮ $P$ versus $NP$ and geometry ⋮ Symmetry reduction of exterior differential systems and Bäcklund transformations for PDE in the plane ⋮ Parallel calibrations and minimal submanifolds ⋮ An exterior differential system for a generalized Korteweg-de Vries equation and its associated integrability ⋮ A new incremental algorithm for computing Groebner bases ⋮ Degree bounds for Gröbner bases of low-dimensional polynomial ideals ⋮ A new algorithm for computing comprehensive Gröbner systems ⋮ Finding all bessel type solutions for linear differential equations with rational function coefficients ⋮ Simultaneously row- and column-reduced higher-order linear differential systems ⋮ Consistency of finite difference approximations for linear PDE systems and its algorithmic verification ⋮ Computation with semialgebraic sets represented by cylindrical algebraic formulas ⋮ Black-box/white-box simplification and applications to quantifier elimination ⋮ The geometry of lightlike surfaces in Minkowski space ⋮ Linearity and second fundamental forms for proper holomorphic maps from $\mathbb{B}^{n+1}$ to $\mathbb{B}^{4n-3}$ ⋮ Ruled austere submanifolds of dimension four ⋮ Scarcity of periodic orbits in outer billiards ⋮ Projective view on motion groups I: Kinematics and relativity ⋮ The $^{*}$-Ricci tensor for hypersurfaces in $\mathbb{C}\mathbb{P}^n$ and $\mathbb{C}\mathrm{H}^n$ ⋮ An application of the moving frame method to integral geometry in the Heisenberg group ⋮ Second order type-changing equations for a scalar function on a plane ⋮ Exceptionally simple PDE ⋮ Local embeddability of real analytic path geometries ⋮ Existence of isometric immersions into nilpotent Lie groups ⋮ Incidences between points and lines on two- and three-dimensional varieties ⋮ Subriemannian metric induced by single-input locally accessible control-affine systems ⋮ Flag structures on real 3-manifolds ⋮ On varieties with higher osculating defect ⋮ Euler-symmetric complete intersections in projective space ⋮ Lagrangian submanifolds of the nearly Kähler full flag manifold $F_{1 , 2} ( \mathbb{C}^3 )$ ⋮ Weak stationarity of a matrix valued differential form at superdensity points of its vanishing set ⋮ Duality with expanding maps and shrinking maps, and its applications to Gauss maps ⋮ Constructing isothermal curvature line coordinates on surfaces which admit them ⋮ Rigid Schubert varieties in compact Hermitian symmetric spaces ⋮ Austere submanifolds of dimension four: examples and maximal types ⋮ Higher-order conservation laws for the nonlinear Poisson equation via characteristic cohomology ⋮ Singularities of duals of Grassmannians ⋮ On the third secant variety ⋮ Generalized Finsler structures on closed 3-manifolds ⋮ Generic bifurcations of framed curves in a space form and their envelopes ⋮ The fundamental theorem for hypersurfaces in Heisenberg groups ⋮ On manifolds swept out by high dimensional hypersurfaces ⋮ Second-order type-changing evolution equations with first-order intermediate equations ⋮ The classical Bertrand-Darboux problem ⋮ Deformations of infinite-dimensional Lie algebras, exotic cohomology, and integrable nonlinear partial differential equations ⋮ Hyperbolic reduction ⋮ Maximum rank of a Legendrian web ⋮ Incidences between points and lines in ${\mathbb {R}}^4$ ⋮ On the Gronwall conjecture ⋮ Equations of pseudo-spherical type (After S. S. Chern and K. Tenenblat) ⋮ A d'Alembert formula for Hopf hypersurfaces ⋮ Lines on projective varieties and applications ⋮ Lagrangian curves in a 4-dimensional affine symplectic space ⋮ Variational problems for Fefferman hypersurface measure and volume-preserving CR invariants ⋮ Lie symmetries and CR geometry ⋮ Second order ODEs under area-preserving maps ⋮ Differential complexes in continuum mechanics ⋮ On the genesis of the Cartan-Kähler theory ⋮ Singularities of flat extensions from generic surfaces with boundaries ⋮ Flatness of CR submanifolds in a sphere ⋮ Differential invariants for cubic integrals of geodesic flows on surfaces ⋮ Foliations with degenerate Gauss maps on $\mathbb P^4$ ⋮ On the existence of generalized unicorns on surfaces ⋮ A fundamental theorem for submanifolds in semi-Riemannian warped products ⋮ Distributed branch points and the shape of elastic surfaces with constant negative curvature ⋮ Fracture and singularities of the mass-density gradient field ⋮ Moduli map of second fundamental forms on a nonsingular intersection of two quadrics ⋮ A fundamental differential system of Riemannian geometry ⋮ Minimal surfaces in three-dimensional Riemannian manifold associated with a second-order ODE ⋮ Geometric structures and configurations of flags in orbits of real forms ⋮ The adjoint variety of SL$_{m+1}\mathbb C$ is rigid to order three ⋮ Differential invariants of a Lie group action: syzygies on a generating set ⋮ The Cayley cubic and differential equations ⋮ A characterization of hyperbolic affine flat, affine minimal surfaces in $\mathbb{A}^3$ ⋮ The CR immersion into a sphere with the degenerate CR Gauss map ⋮ Beltrami fields with nonconstant proportionality factor ⋮ Varieties with quadratic entry locus. I ⋮ A generalization of an integrability theorem of Darboux ⋮ The spherically symmetric standard model with gravity ⋮ On separable higher Gauss maps ⋮ Bäcklund transformations for Darboux integrable differential systems ⋮ Euler-symmetric projective toric varieties and additive actions