Neutral surfaces in neutral four-spaces
<p><span style="font-style: normal;">Properties of the Gauss map of neutral surfaces are studied. Special attention is given to surfaces of parallel, or zero, mean curvature. Bilagrangian structures are defined and used in ways analogous to the use of complex structures in the...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Università degli Studi di Catania
1990-11-01
|
| Series: | Le Matematiche |
| Online Access: | http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/678 |
| _version_ | 1818922091195400192 |
|---|---|
| author | Gary Jensen Marco Rigoli |
| author_facet | Gary Jensen Marco Rigoli |
| author_sort | Gary Jensen |
| collection | DOAJ |
| description | <p><span style="font-style: normal;">Properties of the Gauss map of neutral surfaces are studied. Special attention is given to surfaces of parallel, or zero, mean curvature. Bilagrangian structures are defined and used in ways analogous to the use of complex structures in the Riemannian case. The nonsimplicity of the structure group </span><em>SO(2,2)</em><span style="font-style: normal;"> is used to factor the Gauss map and to construct analogs of the twistor space, called in this context reflector space.</span></p> |
| first_indexed | 2024-12-20T01:48:01Z |
| format | Article |
| id | doaj.art-826fabfc9af542bcaeecc14eef32cee2 |
| institution | Directory Open Access Journal |
| issn | 0373-3505 2037-5298 |
| language | English |
| last_indexed | 2024-12-20T01:48:01Z |
| publishDate | 1990-11-01 |
| publisher | Università degli Studi di Catania |
| record_format | Article |
| series | Le Matematiche |
| spelling | doaj.art-826fabfc9af542bcaeecc14eef32cee22022-12-21T19:57:42ZengUniversità degli Studi di CataniaLe Matematiche0373-35052037-52981990-11-01452407443645Neutral surfaces in neutral four-spacesGary JensenMarco Rigoli<p><span style="font-style: normal;">Properties of the Gauss map of neutral surfaces are studied. Special attention is given to surfaces of parallel, or zero, mean curvature. Bilagrangian structures are defined and used in ways analogous to the use of complex structures in the Riemannian case. The nonsimplicity of the structure group </span><em>SO(2,2)</em><span style="font-style: normal;"> is used to factor the Gauss map and to construct analogs of the twistor space, called in this context reflector space.</span></p>http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/678 |
| spellingShingle | Gary Jensen Marco Rigoli Neutral surfaces in neutral four-spaces Le Matematiche |
| title | Neutral surfaces in neutral four-spaces |
| title_full | Neutral surfaces in neutral four-spaces |
| title_fullStr | Neutral surfaces in neutral four-spaces |
| title_full_unstemmed | Neutral surfaces in neutral four-spaces |
| title_short | Neutral surfaces in neutral four-spaces |
| title_sort | neutral surfaces in neutral four spaces |
| url | http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/678 |
| work_keys_str_mv | AT garyjensen neutralsurfacesinneutralfourspaces AT marcorigoli neutralsurfacesinneutralfourspaces |