Sharp geometric rigidity of isometries on Heisenberg groups | Sciact - Система учета научной деятельности ИМ СО РАН

Sharp geometric rigidity of isometries on Heisenberg groups Научная публикация

Журнал

Mathematische Annalen
ISSN: 0025-5831 , E-ISSN: 1432-1807

Вых. Данные

Год: 2012, Том: 355, Страницы: 1301–1329 Страниц : 28 DOI: 10.1007/s00208-012-0820-2

Авторы

Isangulova D.V. ¹ , Vodopyanov S.K. ¹

Организации

1	Sobolev Institute of Mathematics SB RAS, 4 Acad. Koptyug Avenue, 630090 Novosibirsk, Russia

We prove sharp geometric rigidity estimates for isometries on Heisenberg groups. Our main result asserts that every (1 + ε)-quasi-isometry on a John domain of the Heisenberg group H^n, n > 1, is close to some isometry up to proximity order √ ε + ε in the uniform norm, and up to proximity order ε in the L^1_p-norm. We give examples showing the asymptotic sharpness of our results.

Isangulova D.V. , Vodopyanov S.K.
Sharp geometric rigidity of isometries on Heisenberg groups
Mathematische Annalen. 2012. V.355. P.1301–1329. DOI: 10.1007/s00208-012-0820-2 WOS Scopus OpenAlex

Поступила в редакцию:	6 апр. 2009 г.
Опубликована online:	14 июн. 2012 г.

≡ Web of science:	WOS:000316870300004
≡ Scopus:	2-s2.0-84875591243
≡ OpenAlex:	W2053721593