Detail publikačního výsledku

Rigidity of holomorphically projective mappings of Kähler and hyperbolic Kähler Spaces with finite complete geodesics

MIKEŠ, J.; HINTERLEITNER, I.; PEŠKA, P.; VÍTKOVÁ, L.

Originální název

Rigidity of holomorphically projective mappings of Kähler and hyperbolic Kähler Spaces with finite complete geodesics

Anglický název

Rigidity of holomorphically projective mappings of Kähler and hyperbolic Kähler Spaces with finite complete geodesics

Druh

Článek recenzovaný mimo WoS a Scopus

Originální abstrakt

In the paper, we consider holomorphically projective mappings of n-dimensional pseudo-Riemannian Kähler and hyperbolic Kähler spaces. We refined the fundamental linear equations of the above problems for metrics of differentiability class 𝐶2. We have found the conditions for n complete geodesics and their image that must be satisfied for the holomorphically projective mappings to be trivial, i.e., these spaces are rigid with precision to affine mappings.

Anglický abstrakt

In the paper, we consider holomorphically projective mappings of n-dimensional pseudo-Riemannian Kähler and hyperbolic Kähler spaces. We refined the fundamental linear equations of the above problems for metrics of differentiability class 𝐶2. We have found the conditions for n complete geodesics and their image that must be satisfied for the holomorphically projective mappings to be trivial, i.e., these spaces are rigid with precision to affine mappings.

Klíčová slova

geodesic; complete geodesic; holomorphically projective mappings; Kähler space; hyperbolic Kähler space; rigidity

Klíčová slova v angličtině

geodesic; complete geodesic; holomorphically projective mappings; Kähler space; hyperbolic Kähler space; rigidity

Autoři

MIKEŠ, J.; HINTERLEITNER, I.; PEŠKA, P.; VÍTKOVÁ, L.

Rok RIV

2026

Vydáno

10.03.2025

Periodikum

Geometry

Svazek

2

Číslo

1

Stát

Švýcarská konfederace

Strany od

3-1

Strany do

3-13

Strany počet

13

URL

https://www.mdpi.com/3042-402X/2/1/3