Wyniki wyszukiwania

Sortuj według:

Ogranicz wyniki do:

On isometries of the Kobayashi and Carathéodory metrics

100%

Mahajan P.

Annales Polonici Mathematici

2012

tom 104

nr 2

121-151

This article considers C¹-smooth isometries of the Kobayashi and Carathéodory metrics on domains in ℂⁿ and the extent to which they behave like holomorphic mappings. First we provide an example which suggests that 𝔹ⁿ cannot be mapped isometrically onto a product domain. In addition, we prove several results on continuous extension of C⁰-isometries f : D₁ → D₂ to the closures under purely local assumptions on the boundaries. As an application, we show that there is no C⁰-isometry between a strongly pseudoconvex domain in ℂ² and certain classes of weakly pseudoconvex finite type domains in ℂ².

Ograniczanie wyników

1 Annales Polonici Mathematici

1 Mahajan P.

1 2012

Wyniki wyszukiwania

On isometries of the Kobayashi and Carathéodory metrics