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pro vyhledávání: '"Mormul, Piotr"'
Autor:
Mormul, Piotr
A number of key issues concerning distributions generating 1-flags(most often called Goursat flags) has been settled over the past 30 years. Presently similar questions are being discussed as regards distributions generating multi-flags. (More precis
Externí odkaz:
http://arxiv.org/abs/2410.08951
Autor:
Mormul, Piotr, Pelletier, Fernand
This work is a continuation of authors' research interrupted in the year 2010. Derived are recursive relations describing for the first time all infinitesimal symmetries of special 2-flags (sometimes also misleadingly called `Goursat 2-flags'). When
Externí odkaz:
http://arxiv.org/abs/1809.04368
We study the order of tangency between two manifolds of same dimension and give that notion three quite different geometric interpretations. Related aspects of the order of tangency, e.g., regular separation exponents, are also discussed.
Commen
Commen
Externí odkaz:
http://arxiv.org/abs/1803.07664
Autor:
Mormul, Piotr1 mormul@mimuw.edu.pl
Publikováno v:
Proceedings of the International Geometry Center. 2023, Vol. 16 Issue 2, p142-160. 19p.
Autor:
Mormul, Piotr
It is well known that the compactifications of the canonical contact systems living on real jet spaces $J^{\,r}(1,1)$, $r \ge 2$, are locally universal Goursat distributions, $\Delta^r$, living on compact manifolds (called Goursat monsters) having op
Externí odkaz:
http://arxiv.org/abs/1102.4836
Autor:
Mormul, Piotr, Pelletier, Fernand
In the recent years, a number of issues concerning distributions generating 1- flags (called also Goursat flags) has been analyzed. Presently similar questions are discussed as regards distributions generating multi-flags. (In fact, only so-called sp
Externí odkaz:
http://arxiv.org/abs/1011.1763
Autor:
Mormul, Piotr
Publikováno v:
SIGMA 5 (2009), 102, 22 pages
In the paper we discuss certain classes of vector distributions in the tangent bundles to manifolds, obtained by series of applications of the so-called generalized Cartan prolongations (gCp). The classical Cartan prolongations deal with rank-2 distr
Externí odkaz:
http://arxiv.org/abs/0911.2667
Autor:
Mormul Piotr
Publikováno v:
Open Mathematics, Vol 2, Iss 5, Pp 859-883 (2004)
Externí odkaz:
https://doaj.org/article/24b5c66adae6403b9caa16d6bf270291
Autor:
Mormul Piotr
We note - after, among other contributions, the work 8 - that the kinematical system of a finite number, say
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d902c0b5c3b2cb0198e2188cba15cc8e
Publikováno v:
Real & Complex Singularities (9783764377755); 2007, p229-246, 18p