Mond-Weir duality in vector programming with generalized invex functions on differentiable manifolds.
Monge-Ampère equations and surfaces with negative Gaussian curvature
In [24], we studied the singularities of solutions of Monge-Ampère equations of hyperbolic type. Then we saw that the singularities of solutions do not coincide with the singularities of solution surfaces. In this note we first study the singularities of solution surfaces. Next, as the applications, we consider the singularities of surfaces with negative Gaussian curvature. Our problems are as follows: 1) What kinds of singularities may appear?, and 2) How can we extend the surfaces beyond the singularities?...
Monge-Ampère equationsviewed from contact geometry
Monodromy Groups of Critical Point of Functions.
Monodromy of functions defined on isolated singularities of complete intersections
Monodromy representations of braid groups and Yang-Baxter equations
Motivated by the two dimensional conformal field theory with gauge symmetry, we shall study the monodromy of the integrable connections associated with the simple Lie algebras. This gives a series of linear representations of the braid group whose explicit form is described by solutions of the quantum Yang-Baxter equation.
Monodromy zeta-functions of deformations and Newton diagrams.
Monogenic functions in conformal geometry.
Monogenic functions on surfaces.
Monopôles de Seiberg-Witten et conjecture de Thom
Monotone approximation of energy functionals for mappings into metric spaces, I.
Monotonicity of first eigenvalues along the Yamabe flow
We construct some nondecreasing quantities associated to the first eigenvalue of
Morales-Ramis Theorems via Malgrange pseudogroup
In this article we give an obstruction to integrability by quadratures of an ordinary differential equation on the differential Galois group of variational equations of any order along a particular solution. In Hamiltonian situation the condition on the Galois group gives Morales-Ramis-Simó theorem. The main tools used are Malgrange pseudogroup of a vector field and Artin approximation theorem.
More on deformed oscillator algebras and extended umbral calculus
This paper deals with calculus which is an extension of finite operator calculus due to Rota, and leading results of Rota’s calculus are easily -extendable. The particular case is known to be relevant for quantum group investigations. It is shown here that such umbral calculus leads to infinitely many new -deformed quantum like oscillator algebra representations. The authors point to several references dealing with new applications of umbral and calculus in which new families of extensions...
More on the Determinacy of Smooth Map-Germs.
Morphismes -orientés d’espaces de feuilles et fonctorialité en théorie de Kasparov (d’après une conjecture d’A. Connes)
Morphisms between spaces of leaves viewed as fractions
Morrey-Campanato spaces on manifolds
Morse index and bifurcation of p-geodesics on semi Riemannian manifolds
Given a one-parameter family of semi Riemannian metrics on an n-dimensional manifold M, a family of time-dependent potentials and a family of trajectories connecting two points of the mechanical system defined by , we show that there are trajectories bifurcating from the trivial branch if the generalized Morse indices and are different. If the data are analytic we obtain estimates for the number of bifurcation points on the branch and, in particular, for the number of strictly conjugate...
Morse index and Gauss maps of complete minimal surfaces in Euclidean 3-space.