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Displaying 441 – 460 of 2342

Controllability of right invariant systems on semi-simple Lie groups

R. El Assoudi, J. Gauthier, I. Kupka (1995)

Banach Center Publications

We deal with controllability of right invariant control systems on semi-simple Lie groups. We recall the history of the problem and the successive results. We state the final complete result, with a sketch of proof.

Controllability of systems on a nilpotent Lie group

J. Hilgert, K.H. Hofmann, J.D. Lawson (1985)

Beiträge zur Algebra und Geometrie = Contributions to algebra and geometry

Controllability on real reductive Lie groups.

J. Hilgert (1992)

Mathematische Zeitschrift

Convergence of Poisson integrals on semidirect extensions of homogeneous groups

Ewa Damek (1989)

Colloquium Mathematicae

Converse theorems for $G L_{n}$

Jim W. Cogdell, Igor I. Piatetski-Shapiro (1994)

Publications Mathématiques de l'IHÉS

Convex functions on Carnot groups.

P. Juutinen, G. Lu, J. J. Manfredi, B. Stroffolini (2007)

Revista Matemática Iberoamericana

Convex Hull Property and Exclosure Theorems for H-Minimal Hypersurfaces in Carnot Groups

Francescopaolo Montefalcone (2016)

Analysis and Geometry in Metric Spaces

In this paper, we generalize to sub-Riemannian Carnot groups some classical results in the theory of minimal submanifolds. Our main results are for step 2 Carnot groups. In this case, we will prove the convex hull property and some “exclosure theorems” for H-minimal hypersurfaces of class C2 satisfying a Hörmander-type condition.