Zobrazeno 1 - 10
of 174
pro vyhledávání: '"Nurowski, Paweł"'
Autor:
Nurowski, Pawel
In Cartan's PhD thesis, there is a formula defining a certain rank 8 vector distribution in dimension 15, whose algebra of authomorphism is the split real form of the simple exceptional complex Lie algebra $\mathfrak{f}_4$. Cartan's formula is writte
Externí odkaz:
http://arxiv.org/abs/2302.13606
In this companion paper to our article {\em Accidental CR structures} (arxiv.org, January 2023), thought of as an appendix not submitted for publication, we provide complete explicit lists of infinitesimal CR automorphisms for the concerned CR models
Externí odkaz:
http://arxiv.org/abs/2302.06467
We noticed a discrepancy between \'Elie Cartan and Sigurdur Helgason about the lowest possible dimension in which the simple exceptional Lie group ${\bf E}_8$ can be realized. This raised the question about the lowest dimensions in which various real
Externí odkaz:
http://arxiv.org/abs/2302.03119
Fels-Kaup (Acta Mathematica 2008) classified homogeneous $\mathfrak{C}_{2,1}$ hypersurfaces $M^5 \subset \mathbb{C}^3$ and discovered that they are all biholomorphic to tubes $S^2 \times i \mathbb{R}^3$ over some affinely homogeneous surface $S^2 \su
Externí odkaz:
http://arxiv.org/abs/2104.09608
Autor:
Agrachev, Andrei, Nurowski, Pawel
Publikováno v:
Automatica 147, (2023), 110693
We consider a mechanical system of three ants on the floor, which move according to two independt rules: Rule A - forces the velocity of any given ant to always point at a neighboring ant, and Rule B - forces the velocity of every ant to be parallel
Externí odkaz:
http://arxiv.org/abs/2103.01058
Autor:
Nurowski, Pawel
We consider two consecutive conformally flat eons in Penrose's Conformal Cyclic Cosmology and study how the perfect fluid matter content of the past eon determines the matter content of the present eon by means of Penrose's reciprocity hypothesis.
Externí odkaz:
http://arxiv.org/abs/2102.11823
Autor:
Nurowski, Pawel
We consider two consecutive eons $\hat{M}$ and $\check{M}$ from Penrose's Conformal Cyclic Cosmology and study how the matter content of the past eon ($\hat{M}$) determines the matter content of the present eon ($\check{M}$) by means of the reciproci
Externí odkaz:
http://arxiv.org/abs/2101.12670
Publikováno v:
Geometriae Dedicata (2022)
We study the local geometry of 4-manifolds equipped with a \emph{para-K\"ahler-Einstein} (pKE) metric, a special type of split-signature pseudo-Riemannian metric, and their associated \emph{twistor distribution}, a rank 2 distribution on the 5-dimens
Externí odkaz:
http://arxiv.org/abs/2009.05975
Autor:
Merker, Joel, Nurowski, Pawel
We study invariant properties of $5$-dimensional para-CR structures whose Levi form is degenerate in precisely one direction and which are $2$-nondegenerate. We realize that two, out of three, primary (basic) para-CR invariants of such structures are
Externí odkaz:
http://arxiv.org/abs/2006.15606
Autor:
Merker, Joel, Nurowski, Pawel
Motivated by recent works in Levi degenerate CR geometry, this article endeavours to study the wider and more flexible para-CR structures for which the constraint of invariancy under complex conjugation is relaxed. We consider $5$-dimensional para-CR
Externí odkaz:
http://arxiv.org/abs/2003.08166