Motions in the flag space with spherical trajectories. II: The three-parametric motions. (Bewegungsvorgänge des Flaggenraumes mit sphärischen Bahnen. II: Die dreiparametrigen Bewegungsvorgänge.)
Moving frames, Geometric Poisson brackets and the KdV-Schwarzian evolution of pure spinors
In this paper we describe a non-local moving frame along a curve of pure spinors in , and its associated basis of differential invariants. We show that the space of differential invariants of Schwarzian-type define a Poisson submanifold of the spinor Geometric Poisson brackets. The resulting restriction is given by a decoupled system of KdV Poisson structures. We define a generalization of the Schwarzian-KdV evolution for pure spinor curves and we prove that it induces a decoupled system of KdV...
Multicontact vector fields on Hessenberg manifolds.
Multi-helicoidal Euclidean submanifolds of constant sectional curvature.
Multi-instantons in higher dimensions and superstring solitons.
Multilocal invariants for the classical groups.
Multiparametric oscillator Hamiltonians with exact bound states in infinite-dimensional space
Multiple Bernoulli series, an Euler-MacLaurin formula, and Wall crossings
We study multiple Bernoulli series associated to a sequence of vectors generating a lattice in a vector space. The associated multiple Bernoulli series is a periodic and locally polynomial function, and we give an explicit formula (called wall crossing formula) comparing the polynomial densities in two adjacent domains of polynomiality separated by a hyperplane. We also present a formula in the spirit of Euler-MacLaurin formula. Finally, we give a decomposition formula for the Bernoulli series describing...
Multiple convex hypersurfaces with prescribed mean curvature
Multiple Hamiltonian structures for the Ishii's equation.
Multiple quantum products in toric varieties.
Multiple surfaces of non-constant mean curvature.
Multiplicative integrable models from Poisson-Nijenhuis structures
We discuss the role of Poisson-Nijenhuis (PN) geometry in the definition of multiplicative integrable models on symplectic groupoids. These are integrable models that are compatible with the groupoid structure in such a way that the set of contour levels of the hamiltonians in involution inherits a topological groupoid structure. We show that every maximal rank PN structure defines such a model. We consider the examples defined on compact hermitian symmetric spaces studied by F. Bonechi, J. Qiu...
Multiplicité de petites valeurs propres du laplacien
Multiplicity and stability of closed geodesics on Finsler 2-spheres
A survey of recent progress on the multiplicity and stability problems for closed geodesics on Finsler 2-spheres is given.
Multiplicity results for the prescribed scalar curvature on low spheres
In this paper, we consider the problem of multiplicity of conformal metrics of prescribed scalar curvature on standard spheres . Under generic conditions we establish someMorse Inequalities at Infinity, which give a lower bound on the number of solutions to the above problem in terms of the total contribution of its critical points at Infinityto the difference of topology between the level sets of the associated Euler-Lagrange functional. As a by-product of our arguments we derive a new existence...
Multiplicity-free complex manifolds.
Multisymplectic forms of degree three in dimension seven
A multisymplectic 3-structure on an -dimensional manifold is given by a closed smooth 3-form of maximal rank on which is of the same algebraic type at each point of , i.e. they belong to the same orbit under the action of the group . This means that for each point the form is isomorphic to a chosen canonical 3-form on . R. Westwick [Linear Multilinear Algebra 10, 183–204 (1981; Zbl 0464.15001)] and D. Ž. Djoković [Linear Multilinear Algebra 13, 3–39 (1983; Zbl 0515.15011)] obtained...
Multisymplectic structures of degrese three of product type on 6-dimensional manifolds
Multi-time sprays and -traceless maps on .