Displaying 21 – 40 of 42

Showing per page

The Lie group of real analytic diffeomorphisms is not real analytic

Rafael Dahmen, Alexander Schmeding (2015)

Studia Mathematica

We construct an infinite-dimensional real analytic manifold structure on the space of real analytic mappings from a compact manifold to a locally convex manifold. Here a map is defined to be real analytic if it extends to a holomorphic map on some neighbourhood of the complexification of its domain. As is well known, the construction turns the group of real analytic diffeomorphisms into a smooth locally convex Lie group. We prove that this group is regular in the sense of Milnor. ...

The singularity structureοf the Yang-Mills configuration space

Jürgen Fuchs (1997)

Banach Center Publications

The geometric description of Yang–Mills theories and their configuration space is reviewed. The presence of singularities in M is explained and some of their properties are described. The singularity structure is analysed in detail for structure group SU(2). This review is based on [28].

Théorie de jauge et symétries des fibrés

D. Brandt, Jean-Claude Hausmann (1993)

Annales de l'institut Fourier

Soit ξ un G -fibré principal différentiable sur une variété M ( G un groupe de Lie compact). Étant donné une action d’un groupe de Lie compact Γ sur M , on se pose la question de savoir si elle provient d’une action sur le fibré ξ . L’originalité de ce travail est de relier ce problème à l’existence de points fixes pour les actions de Γ que l’on induit naturellement sur divers espaces de modules de G -connexions sur ξ .

Thermo-viscous fluid flow in porous slab bounded between two impermeable parallel plates in relative motion: Four stage algorithm approach

Nalimela Pothanna, Podila Aparna, M. Pavankumar Reddy, R. Archana Reddy, M. Clement Joe Anand (2024)

Applications of Mathematics

The problem of an approximate solution of thermo-viscous fluid flow in a porous slab bounded between two impermeable parallel plates in relative motion is examined in this paper. The two plates are kept at two different temperatures and the flow is generated by a constant pressure gradient together with the motion of one of the plates relative to the other. The velocity and temperature distributions have been obtained by a four-stage algorithm approach. It is worth mentioning that reverse effects...

Currently displaying 21 – 40 of 42