EuDML | Browse

The paper deals with nearaffine planes described by H. A. Wilbrink. We consider their central automorphisms, i.e. automorphisms satisfying the Veblen condition, which become central collineations in connected projective planes. Moreover, a concept of central pseudo-automorphism is considered, i.e. some bijections in a nearaffine plane are not automorphisms but they become central collineations in the related projective planes.

Characterization of epimorphisms of nets by normal decompositions

Jaroslava Jachanová (1977)

Sborník prací Přírodovědecké fakulty University Palackého v Olomouci. Matematika

Classical polar spaces (sub-)weakly embedded in projective spaces.

Steinbach, Anja (1996)

Bulletin of the Belgian Mathematical Society - Simon Stevin

Closure conditions in the nets

Jiři Kadleček (1978)

Commentationes Mathematicae Universitatis Carolinae

Die klassisch-projektive Natur der Kettengeometrien endlicher Dimensionen.

Michael Werner (1982)

Mathematische Zeitschrift

Dual partial quadrangles embedded in $P G (3, q)$ .

De Clerck, F., Durante, N., Thas, J. A. (2003)

Advances in Geometry

Dualitäten mit zwei Geraden aus absoluten Punkten in projektiven Ebenen.

Armin Herzer (1972)

Mathematische Zeitschrift

Ein "affiner" Beweis des Satzes von v. Staudt - Schleiermacher.

Rudolf Fritsch (1978/1979)

Monatshefte für Mathematik

Eine geometrische Kennzeichnung linearer Abbildungen.

Heinrich Brauner (1973)

Monatshefte für Mathematik

Eine Verallgemeinerung des Satzes von Dandelin.

A. Herzer (1972)

Elemente der Mathematik

Embeddings of projective Klingenberg planes in the projective space PG(5, $𝕂$ ).

Keppens, Dirk, Van Maldeghem, Hendrik (2009)

Beiträge zur Algebra und Geometrie

Extending Nearaffine Planes to Hyperbola Structures

Kinga Cudna-Salmanowicz, Jan Jakóbowski (2007)

Bulletin of the Polish Academy of Sciences. Mathematics

H. A. Wilbrink [Geom. Dedicata 12 (1982)] considered a class of Minkowski planes whose restrictions, called residual planes, are nearaffine planes. Our study goes in the opposite direction: what conditions on a nearaffine plane are necessary and sufficient to get an extension which is a hyperbola structure.

Currently displaying 1 – 20 of 64

Page 1 Next

Displaying 1 – 20 of 64

4-dimensionale Translationsebenen.

A note on embedding and generating dual polar spaces.

A Poncelet theorem in space.

A Resolution of the Sylvester-Gallai Problem of J.-P. Serre.

Algebraische Geometrien

Central Automorphisms of Veblenian Nearaffine Planes