Rigidity of Holomorphically Projective Mappings of Kähler Spaces with Finite Complete Geodesics

被引：0
|
作者：
Vitkova, Lenka [1 ]
Hinterleitner, Irena [2 ]
Mikes, Josef [1 ]
机构：
[1] Palacky Univ Olomouc, Fac Sci, Dept Algebra & Geometry, Olomouc 77900, Czech Republic
[2] Brno Univ Technol, Fac Civil Engn, Dept Math & Descript Geometry, Brno 60200, Czech Republic
来源：
MATHEMATICS | 2024年 / 12卷 / 08期
关键词：
geodesic; holomorphically projective mappings; K & auml; hler space; rigidity; Riemann tensor; symmetric space; TRANSFORMATIONS;
D O I：
10.3390/math12081239
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this work, we consider holomorphically projective mappings of (pseudo-) K & auml;hler spaces. We determine the conditions for finite complete geodesics that must be satisfied for the mappings to be trivial; i.e., these spaces are rigid.
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页数：13
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