@article{RSMUP_2009__122__99_0, author = {Venturi, Irene}, title = {Rigid {Two-Step} {Nilpotent} {Lie} {Groups} relative to {Multicontact} {Structures}}, journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova}, pages = {99--127}, publisher = {Seminario Matematico of the University of Padua}, volume = {122}, year = {2009}, mrnumber = {2582833}, zbl = {1219.17005}, language = {en}, url = {http://www.numdam.org/item/RSMUP_2009__122__99_0/} }
TY - JOUR AU - Venturi, Irene TI - Rigid Two-Step Nilpotent Lie Groups relative to Multicontact Structures JO - Rendiconti del Seminario Matematico della Università di Padova PY - 2009 SP - 99 EP - 127 VL - 122 PB - Seminario Matematico of the University of Padua UR - http://www.numdam.org/item/RSMUP_2009__122__99_0/ LA - en ID - RSMUP_2009__122__99_0 ER -
%0 Journal Article %A Venturi, Irene %T Rigid Two-Step Nilpotent Lie Groups relative to Multicontact Structures %J Rendiconti del Seminario Matematico della Università di Padova %D 2009 %P 99-127 %V 122 %I Seminario Matematico of the University of Padua %U http://www.numdam.org/item/RSMUP_2009__122__99_0/ %G en %F RSMUP_2009__122__99_0
Venturi, Irene. Rigid Two-Step Nilpotent Lie Groups relative to Multicontact Structures. Rendiconti del Seminario Matematico della Università di Padova, Tome 122 (2009), pp. 99-127. http://www.numdam.org/item/RSMUP_2009__122__99_0/
[1] Prolongations of geometric overdetermined systems, Internat. J. Math. 17, no. 6 (2006), pp. 641-664. | MR | Zbl
- - - ,[2] Exterior differential systems, M.S.R.I. Publications (Springer, 1991). | MR | Zbl
- - - - ,[3] H-type groups and Iwasawa decompositions, Adv. Math., 87 (1991), pp. 1-41. | MR | Zbl
- - - ,[4] Contact and conformal mappings in parabolic geometry. I, Geometriae Dedicata, 111 (2005), pp. 65-86. | MR | Zbl
- - - ,[5] Contact and conformal maps on Iwasawa N groups. Rend. Mat. Acc. Lincei s. 9, 13 (2002), 219-232. | MR
- - - ,[6] Fundamental solutions for a class of hypoelliptic PDE generatted by composition of quadratic forms, Trans. Amer. Math. Soc., 258 (1980),pp. 147-153. | MR | Zbl
,[7] Integrability criteria for systems of nonlinear partial differential equations, J. Differential Geometry, 1 (1967), pp. 269-307. | MR | Zbl
,[8] Prolongations of linear partial differential equations. I. A conjecture of Elie Cartan, Ann. Sci. École Norm. Sup. (4), 1 (1968), pp. 417-444. | Numdam | MR | Zbl
,[9] Prolongations of linear partial differential equations. II. Inhomogeneous equations., Ann. Sci. École Norm. Sup. (4), 1 (1968), pp. 617-625. | Numdam | MR | Zbl
,[10] Multicontact maps: results and conjectures. Lecture notes of Seminario Interdisciplinare di Matematica., IV, pp. 57-63, Lect. Notes Semin. Interdiscip. Mat., IV, S.I.M. Dep. Mat. Univ. Basilicata (Potenza, 2005). | MR | Zbl
,[11] Quasiconformal mappings on the Heisenberg group. Invent. Math., 80, n. 2 (1985), pp. 309-338. | MR | Zbl
- ,[12] Generalized Eulerian numbers and the topology of the Hessenberg variety of a matrix, Acta Appl. Math., 12 (1988), pp. 213-235. | MR | Zbl
- ,[13] Hessenberg varieties, Trans. Amer. Math. Soc., 332 (1992), pp. 529-534. | MR | Zbl
- - ,[14] Real 3-dimensional CR geometry, unpublished manuscript (2004).
,[15] Geometric structures on filtered manifolds, Hokkaido Math.J., 22, no. 3 (1994), pp. 263-347. | MR | Zbl
,[16] Multicontact Vector Fields on Hessenberg Manifolds, Journal of Lie Theory, 15 (2005), pp. 357-377. | MR | Zbl
,[17] Métriques de Carnot-Carathéodory et quasiisométries des espaces symétriques de rang un, Ann. of Math. (2), 129, no. 1 (1989), pp. 1-60. | MR | Zbl
,[18] Rigidity of H-type groups, Math. Z., 237 (2001), pp. 697-725. | MR | Zbl
,[19] On differential systems, graded Lie algebras and pseudo-groups, J. Math. Kyoto Univ., 10 (1970), pp. 1-82. | MR | Zbl
,[20] Differential systems associated with simple graded Lie algebras. In: Progress in differential geometry, Adv. Stud. Pure Math., 22, Math. Soc. Japan (Tokyo, 1993), pp. 413-494. | MR | Zbl
,[21] On pseudo-product graded Lie algebras, Hokkaido Math. J., 17, no. 3 (1988), pp. 333-343. | MR | Zbl
,[22] Contact and quasiconformal mappings on real model filiform groups, Bull. Austral. Math. Soc., 68, no. 2 (2003), pp. 329-343. | MR | Zbl
,[23] Jet spaces as nonrigid Carnot groups, J. Lie Theory, 15, no. 1 (2005), pp. 341-356. | MR | Zbl
,[24] Tanaka prolongation of free Lie algebras, Geom. Dedicata, 130 (2007), pp. 59-69. | MR
,