| Title:
|
Higher order contact of real curves in a real hyperquadric (English) |
| Author:
|
Villarroel, Y. |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
32 |
| Issue:
|
1 |
| Year:
|
1996 |
| Pages:
|
57-73 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Let $\Phi $ be an hermitian quadratic form, of maximal rank and index $(n,1)$% , defined over a complex $(n+1)$ vectorial space $V$. Consider the real hyperquadric defined in the complex projective space $P^nV$ by \[ Q=\{[\varsigma ]\in P^nV,\;\Phi (\varsigma )=0\}, \] let $G$ be the subgroup of the special linear group which leaves $Q$ invariant and $D$ the $(2n-2)$ distribution defined by the Cauchy Riemann structure induced over $Q$. We study the real regular curves of constant type in $Q$, transversal to $D$, finding a complete system of analytic invariants for two curves to be locally equivalent under transformations of $G$. (English) |
| Keyword:
|
geometric structures on manifolds |
| Keyword:
|
local submanifolds |
| Keyword:
|
contact theory |
| Keyword:
|
actions of groups |
| MSC:
|
32F40 |
| MSC:
|
53B25 |
| MSC:
|
53C15 |
| idZBL:
|
Zbl 0870.53025 |
| idMR:
|
MR1399840 |
| . |
| Date available:
|
2008-06-06T21:30:09Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107561 |
| . |
| Related article:
|
http://dml.cz/handle/10338.dmlcz/107663 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| . |
