Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Geometry, Analytic. --- Géométrie analytique.

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Fonctions analytiques --- Analytic functions

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Conic sections. --- Coniques. --- Geometry, Analytic. --- Géométrie analytique.

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

In my Ph.D thesis I study immersions of 4-dimensional submanifolds. In particular, I study affine hypersurfaces and affine spheres in the affine space and minimal Lagrangian submanifolds in complex space forms. Lagrangian submanifolds can be studied by their first and second fundamental form. Using the expression for the constant holomorphic sectional curvature tensor of the ambient complex space form, it can be proven that the first and the second fundamental form for the immersion satisfy a bunch of differential equations, known as the Gauss and Codazzi equations. Starting from a Riemannian manifold and a traceless (1,2)-tensor such that those equations are satisfied a local immersion for the Lagrangian submanifold can be made such that the metric becomes the first and the tensor becomes the second fundamental form. Such an immersion is unique up to isometries of the ambient space form. Affine hypersurfaces and affine spheres are hypersurfaces in a standard real space (affine space) but the transversal vector field to describe the immersions is determined by the Blashke instead of the Gaussian normal. This changes the induced structures somewhat. We obtain the shape operator, a presumed Riemannian affine metric and an induced affine connection. Comparing the Levi-Civita connection of the metric with the induced connection results in a traceless symmetric difference tensor. Comparing curvature tensors of both results in the Gauss, Codazzi and Ricci equations. Again starting from an abstract Riemannian manifold with a metric, a 'shape operator' and a 'difference tensor' satisfying these equations, we can construct an immersion locally as an affine hypersurface or affine sphere with these induced structures. This immersion is unique up to affine congruence. For affine spheres, the Ricci equations become trivial and the other equations have a lot of similarities to those of the minimal Lagrangian submanifolds of complex space forms.In this thesis, I apply pointwise algebraic symmetry conditions on the second fundamental form and the shape operator and difference tensor to reconstruct immersions of minimal Lagrangian submanifolds in complex space forms and affine hypersurfaces and spheres respectively.I obtain a full classification for the symmetry group SO(n-1) on n-dimensional affine hypersurfaces. I obtain classification results for SO(2) times S_3 symmetry on minimal Lagrangian submanifolds and affine spheres. Finally, I obtain some calculations and results on O(2) symmetry for minimal Lagrangian submanifolds.

academic collection --- 514.7 <043> --- 514.7 <043> Differential geometry. Algebraic and analytic methods in geometry--Dissertaties --- Differential geometry. Algebraic and analytic methods in geometry--Dissertaties --- Theses

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

When it comes to centralize the production of many production tools into one place in order to raise the production capacity, a company can face many difficulties and challenges to manage the additional costs that appear with the new investments. Actually, the meal’s cost is calculated according to a repartition of the salary and infrastructure costs on the different steps or phases of the principal value chain of the central kitchen (Porter, 1985). However, this does not take into account every final product’s characteristics, or else specific processes that intervene in their preparation. Therefore supplementary costs have to be attributed on the different phases of the central kitchen. After that, a cost is established for every customer consuming all or part of these processes based on the type of meals they order.&#13;The objective of this project is twofold. On the one hand, it aims at determining the total and unitary cost of each phase of the value chain of the central kitchen to permit, in the end, to calculate the unitary cost for each client. On the second hand, it provides the CEO some insights about these costs and proposes guidelines to reduce them. The first part of this report presents the number of meals for the year 2015 ordered by customer. The second part is about the estimation of the resources used by each process to determine their total cost. The third part is concerned by the calculation of the unitary cost for each process, but also for each customer. The fourth and final part builds on the analysis of the costs obtained in the previous parts in order to propose solutions that aims at both reducing costs and increasing the margin for each single customer.

Central kitchen --- analytic accountancy --- unitary cost --- cost analysis --- Sciences économiques & de gestion > Comptabilité & audit