In mathematics, a Kleinian model is a model of a three-dimensional hyperbolic manifold N by the quotient space H 3 / Γ {\displaystyle \mathbb {H} ^{3}/\Gamma...

In mathematics, a Kleinian group is a discrete subgroup of the group of orientation-preserving isometries of hyperbolic 3-space H3. The latter, identifiable...

connection, which can be handled either as a type of Cartan connection modelled on the associated Möbius geometry, or as a Weyl connection. This allows...

the Kleinian model, an analogous construction for 3-manifolds Fundamental polygon Matsuzaki, K.; Taniguchi, M.: Hyperbolic manifolds and Kleinian groups...

functions that projective identification may serve. As in the traditional Kleinian model, it serves as a defense. Projective identification serves as a mode...

analogous construction for three-dimensional hyperbolic surfaces is the Kleinian model. Dini's surface Hyperbolic 3-manifold Ideal polyhedron Mostow rigidity...

theorem. Fuchsian group Fuchsian model Kleinian group Kleinian model Poincaré disk model Poincaré half-plane model Prime geodesic Hershel M. Farkas and...

of parallelism Anosov flow Fuchsian group Fuchsian model Hyperbolic motion Kleinian model Models of the hyperbolic plane Pseudosphere Schwarz–Ahlfors–Pick...

hyperbolic isometries acting freely and properly discontinuously. See also Kleinian model. Its thick-thin decomposition has a thin part consisting of tubular...

inequality Klein model Klein polyhedron Klein surface Klein quadric Klein quartic Kleinian group Kleinian integer Kleinian model Kleinian ring Kleinian singularity...

(Ratcliffe 1994, 12.7). Density theorem for Kleinian groups Greenberg, L. (1966), "Fundamental polyhedra for kleinian groups", Annals of Mathematics, Second...

a Kleinian group (a discrete subgroup of PSL(2,C)) which is conjugate to a subgroup of PSL(2,R). Fuchsian groups are used to create Fuchsian models of...

discussions" (1942–44) at the British Psychoanalytical Association. The Kleinian psychologists proposed that "underlying the Oedipus complex, as Freud described...

of the upper half-plane model of the hyperbolic plane. A Fuchsian group is sometimes considered as a special case of a Kleinian group, by embedding the...

Donald Meltzer (1922–2004) was a Kleinian psychoanalyst whose teaching made him influential in many countries. He became known for making clinical headway...

Hyperbolic 3-manifold Hyperbolic manifold Hyperbolic set Hyperbolic tree Kleinian group Lambert quadrilateral Open universe Poincaré metric Saccheri quadrilateral...

the 3-dimensional hyperbolic space by a discrete group of isometries (a Kleinian group). Hyperbolic 3-manifolds of finite volume have a particular importance...

Kleinian surface groups. I. Models and bounds, arXiv:math/0302208, Bibcode:2003math......2208M Minsky, Yair (2010), "The classification of Kleinian surface...

NJ: Erlbaum. O'Connor, John (1 December 2002). "Type A, type b and the kleinian positions: do they relate to similar processes?". Psychoanalytic Psychology...

5, 401–487. Thurston, William P. (1982). "Three-dimensional manifolds, Kleinian groups and hyperbolic geometry". Bulletin of the American Mathematical...

tool in the study of Kleinian groups. For example, it has been used in the proof of the ending lamination conjecture. A possible model for random 3-manifolds...

surface singularity, Kleinian singularity, or rational double point, is an isolated singularity of a complex surface which is modeled on a double branched...

Psychoanalytical Society split into three separate training divisions: (1) Kleinian, (2) Freudian, and (3) Independent. These debates finally ceased[when?]...

by Robert W. Brooks and Peter Matelski in 1978, as part of a study of Kleinian groups. Afterwards, in 1980, Benoit Mandelbrot obtained high-quality visualizations...

into early childhood and indeed are never completely finished". However, Kleinians also use Freud's first conception of splitting to explain the way "in...

Bion, the British Object Relations School, and other theorists in the Kleinian traditions. It is affiliated with the International Psychoanalytic Association...

Bers' density conjecture from singly degenerate Kleinian surface groups to all finitely generated Kleinian groups in the late 1970s and early 1980s. The...

therein as just as dangerous for the father as the father is for her, later Kleinians like John Steiner have stressed the creative aspect of the primal scene;...

the following table, there is a description of the classical geometries, modeled as Klein geometries. R. W. Sharpe (1997). Differential Geometry: Cartan's...

entities similar to archetypes. Support for this connection comes from the Kleinian analyst Money-Kyrle's observation that Bion's notion of preconceptions...