Interior point algorithms for 3D contact problems
Interplay of simple stochastic games as models for the economy
Using the interplay among three simple exchange games, one may give a satisfactory representation of a conservative economic system where total wealth and number of agents do not change in time. With these games it is possible to investigate the emergence of statistical equilibrium in a simple pure-exchange environment. The exchange dynamics is composed of three mechanisms: a decentralized interaction, which mimics the pair-wise exchange of wealth between two economic agents, a failure mechanism,...
Interpolation theory and measures related to operator ideals
Given any operator ideal , there are two natural functionals , that one can use to show the deviation of the operator to the closed surjective hull of and to the closed injective hull of , respectively. We describe the behaviour under interpolation of and . The results are part of joint works with A. Martínez, A. Manzano and P. Fernández-Martínez.
Introduction
Introduction
Introduction
Introduction : la théorie de l’homotopie en perspective
Introduction to algebra over “brave new rings”
Invariance properties of the Laplace operator
[For the entire collection see Zbl 0699.00032.] The paper deals with a special problem of gauge theory. In his previous paper [The invariance of Sobolev spaces over noncompact manifolds, Partial differential equations, Proc. Symp., Holzhaus/GDR 1988, Teubner- Texte Math. 112, 73-107 (1989; Zbl 0681.58011)], the author introduced the Sobolev completions of the space of all G-connections on a G-principal fibre bundle P. In the present paper, under the assumption of bounded curvatures and their...
Invariant orders in Lie groups
[For the entire collection see Zbl 0742.00067.]The author formulates several theorems about invariant orders in Lie groups (without proofs). The main theorem: a simply connected Lie group admits a continuous invariant order if and only if its Lie algebra contains a pointed invariant cone. V. M. Gichev has proved this theorem for solvable simply connected Lie groups (1989). If is solvable and simply connected then all pointed invariant cones in are global in (a Lie wedge is said to...
Irreducible holonomy representations
Isometric immersions and induced geometric structures
In the paper under review, the author presents some results on the basis of the Nash-Gromov theory of isometric immersions and illustrates how the same results and ideas can be extended to other structures.
Isometry groups of -curvature homogeneous pseudo-Riemannian manifolds
In 2005 Gilkey and Nikčević introduced complete -curvature homogeneous pseudo-Riemannian manifolds of neutral signature , which are -modeled on an indecomposable symmetric space, but which are not -curvature homogeneous. In this paper the authors continue their study of the same family of manifolds by examining their isometry groups and the isometry groups of their -models.
Isometry groups of Lobachevskian spaces, similarity transformation groups of Euclidean spaces and Lorentzian holonomy groups
Isospectral, non-isometric Riemannian manifolds
The author gives a survey of the history of isospectral manifolds that are non-isometric discussing the work of Milnor, Vignéras, Sunada, and de Turck and Gordon. She describes the construction of continuous isospectral deformations as introduced by Gordon, Wilson, De Turck et al. She also discusses the construction of isospectral plane domains due to Gordon, Webb, and Wolpert. Some new examples of isospectral non-isometric manifolds are given.
Isotropy representation of flag manifolds
A flag manifold of a compact semisimple Lie group is defined as a quotient where is the centralizer of a one-parameter subgroup of . Then can be identified with the adjoint orbit of in the Lie algebra of . Two flag manifolds and are equivalent if there exists an automorphism such that (equivalent manifolds need not be -diffeomorphic since is not assumed to be inner). In this article, explicit formulas for decompositions of the isotropy representation for all flag manifolds...
Iterations of linear bounded operators and Kellogg's iterations
Iterative methods, preconditioning & numerical PDEs (IMET 2004). Preface