Sugli isomorfismi tra spazi di Grassman

Eva Ferrara Dentice; Nicola Melone

Bollettino dell'Unione Matematica Italiana (1999)

  • Volume: 2-B, Issue: 3, page 655-661
  • ISSN: 0392-4041

Abstract

top
In this paper we prove that any incidence-preserving bijection between the line sets of Grassmann spaces is induced by either a collineation or a correlation.

How to cite

top

Ferrara Dentice, Eva, and Melone, Nicola. "Sugli isomorfismi tra spazi di Grassman." Bollettino dell'Unione Matematica Italiana 2-B.3 (1999): 655-661. <http://eudml.org/doc/195871>.

@article{FerraraDentice1999,
author = {Ferrara Dentice, Eva, Melone, Nicola},
journal = {Bollettino dell'Unione Matematica Italiana},
keywords = {Grassmann spaces; semilinear spaces},
language = {ita},
month = {10},
number = {3},
pages = {655-661},
publisher = {Unione Matematica Italiana},
title = {Sugli isomorfismi tra spazi di Grassman},
url = {http://eudml.org/doc/195871},
volume = {2-B},
year = {1999},
}

TY - JOUR
AU - Ferrara Dentice, Eva
AU - Melone, Nicola
TI - Sugli isomorfismi tra spazi di Grassman
JO - Bollettino dell'Unione Matematica Italiana
DA - 1999/10//
PB - Unione Matematica Italiana
VL - 2-B
IS - 3
SP - 655
EP - 661
LA - ita
KW - Grassmann spaces; semilinear spaces
UR - http://eudml.org/doc/195871
ER -

References

top
  1. BICHARA, A.- TALLINI, G., On a characterization of the Grassmann space representing the h -dimensional subspaces in a projective space, Ann. Disc. Math., 18 (1983), 113-132. Zbl0506.51019MR695802
  2. CHOW, W. L., On the Geometry of algebraic homogeneus spaces, Ann. Math., 50 (1949), 32-67. Zbl0040.22901MR28057
  3. DIEUDONNÉ, J. A., La Géométrie des Groupes Classiques, 3rd ed. Berlin, Heidelberg, New York, Springer (1971). Zbl0221.20056MR310083
  4. FERRARA DENTICE, E.- MELONE, N., Sulla Geometria di Incidenza degli Spazi di Grassmann, Preprint n. 2, Ist. Mat. II Univ. di Napoli, (1997). 

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.