Canonical realizations of Lie algebras associated with foliated coadjoint orbits
Jochen Dittmann, Gerd Rudolph (1985)
Annales de l'I.H.P. Physique théorique
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Displaying similar documents to “Non-commutative Gauss map”
Canonical realizations of Lie algebras associated with foliated coadjoint orbits
Cross ratios, surface groups, and diffeomorphisms of the circle
François Labourie (2007)
Publications Mathématiques de l'IHÉS
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This article relates representations of surface groups to cross ratios. We first identify a connected component of the space of representations into PSL(,ℝ) – known as the -– to a subset of the set of cross ratios on the boundary at infinity of the group. Similarly, we study some representations into associated to cross ratios and exhibit a “character variety” of these representations. We show that this character variety contains all-Hitchin components as well as the set of negatively...
On pinched manifolds with fundamental group
Karsten Grove, Hermann Karcher (1973)
Compositio Mathematica
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A counterexample to the periodic orbit conjecture
Dennis Sullivan (1976)
Publications Mathématiques de l'IHÉS
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Manifolds which admit actions
Gilles Chatelet, Harold Rosenberg (1974)
Publications Mathématiques de l'IHÉS
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A rigidity phenomenon for germs of actions of
Aubin Arroyo, Adolfo Guillot (2010)
Annales de la faculté des sciences de Toulouse Mathématiques
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We study germs of Lie algebras generated by two commuting vector fields in manifolds that are in the sense of Palais (those which do not present any evident obstruction to be the local model of an action of ). We study three particular pairs of homogeneous quadratic commuting vector fields (in , and ) and study the maximal Lie algebras generated by commuting vector fields whose 2-jets at the origin are the given homogeneous ones. In the first case we prove that the quadratic algebra...
Basics of Lagrangian foliations.
Izu Vaisman (1989)
Publicacions Matemàtiques
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The paper is an exposition of basic known local and global results on Lagrangian foliations such as the Theorem of Darboux-Lie, Weinstein, Arnold-Liouville, a global characterization of cotangent bundles, higher order Maslov classes, etc.