Centroaffine First Order Invariants of Surfaces in IR4

Autor:	Christine Scharlach
Rok vydání:	1995
Předmět:	Surface (mathematics) Mathematics (miscellaneous) Rank (linear algebra) Applied Mathematics Second fundamental form Mathematical analysis Vector bundle Affine transformation Bilinear form Signature (topology) Change of basis Mathematics
Zdroj:	Results in Mathematics. 27:141-159
ISSN:	1420-9012 0378-6218
DOI:	10.1007/bf03322278
Popis:	An investigation of the centroaffine geometry of surfaces in IR4 leads to the centroaffine first order invariants: the vector bundle valued second fundamental form, the affine semiconformal structure, the h3-semiconformal structure and the centroaffine metric. A classification of surfaces by their semiconformal structures according to signature and rank is given. This involves the study of the orbits of two pencils of symmetric bilinear forms on IR2 under a change of basis. Combined with previous results ([Nomizu-Sasaki 93]) a complete classification of the zero-degenerate surfaces is obtained and examples of the other surface types are constructed.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::fc53375f833250aa738b2e8a135d3e02 https://doi.org/10.1007/bf03322278 Zobrazit plný text záznamu Full text from SpringerLink