Sharp Estimates for Geometric Rigidity of Isometries on the First Heisenberg Group

D. V. Isangulova

doi:10.1134/S1064562419050235

Sharp Estimates for Geometric Rigidity of Isometries on the First Heisenberg Group

D. V. Isangulova

Лаборатория геометрического анализа ММФ

Результат исследования: Научные публикации в периодических изданиях › статья › рецензирование

Аннотация

We prove the quantitative stability of isometries on the first Heisenberg group with sub-Riemannian geometry: every (1 + ε)-quasi-isometry of the John domain of the Heisenberg group H is close to some isometry with the order of closeness (Formula presented.)ε + ε in the uniform norm and with the order of closeness ε in the Sobolev norm. An example demonstrating the asymptotic sharpness of the results is given.

Язык оригинала	английский
Страницы (с-по)	480-484
Число страниц	5
Журнал	Doklady Mathematics
Том	100
Номер выпуска	2
DOI	https://doi.org/10.1134/S1064562419050235
Состояние	Опубликовано - 1 сент. 2019

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10.1134/S1064562419050235

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