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Gens de R n

D. Lacaze (1984)

Mathématiques et Sciences Humaines

Geodesics and curvature of semidirect product groups

Vizman, Cornelia (2001)

Proceedings of the 20th Winter School "Geometry and Physics"

Summary: Geodesics and curvature of semidirect product groups with right invariant metrics are determined. In the special case of an isometric semidirect product, the curvature is shown to be the sum of the curvature of the two groups. A series of examples, like the magnetic extension of a group, are then considered.

Geometric constructions and representations

Wolf, Joseph A. (1991)

Proceedings of the Winter School "Geometry and Physics"

[For the entire collection see Zbl 0742.00067.]Let G be a connected semisimple Lie group with finite center. In this review article the author describes first the geometric realization of the discrete series representations of G on Dolbeault cohomology spaces and the tempered series of representations of G on partial Dolbeault cohomology spaces. Then he discusses his joint work with Wilfried Schmid on the construction of maximal globalizations of standard Zuckerman modules via geometric quantization....

Geometric diagram for representing shape quality in mesh refinement

Suárez, José P., Plaza, Ángel, Moreno, Tania (2015)

Application of Mathematics 2015

We review and discuss a method to normalize triangles by the longest-edge. A geometric diagram is described as a helpful tool for studying and interpreting the quality of triangle shapes during iterative mesh refinements. Modern CAE systems as those implementing the finite element method (FEM) require such tools for guiding the user about the quality of generated triangulations. In this paper we show that a similar method and corresponding geometric diagram in the three-dimensional case do not exist....

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