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.

引用

页数：13

共 48 条

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Mića S. Stanković
Svetislav M. Minčić
Ljubica S. Velimirović
Czechoslovak Mathematical Journal, 2004, 54 : 701 - 715
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Pham, Duc Thoan
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Vu, Thi Thuy
JOURNAL OF ANALYSIS, 2024, 32 (03): : 1847 - 1876
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Thi Nhung Nguyen
Duc Thoan Pham
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SINYUKOV, NS
SINYUKOVA, EN
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[5] THEORY OF HOLOMORPHICALLY PROJECTIVE MAPPINGS OF KAHLERIAN SPACES
DOMASHEV, VV
MIKESH, I
MATHEMATICAL NOTES, 1978, 23 (1-2) : 160 - 163
[6] Algebraic Dependence for Three Meromorphic Mappings from Complete Kähler Manifolds into Projective Spaces
Pham Duc Thoan
Nguyen Thi Nhung
Bulletin of the Iranian Mathematical Society, 2020, 46 : 917 - 942
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Miloš Z. Petrović
Ljubica S. Velimirović
Bulletin of the Iranian Mathematical Society, 2019, 45 : 1021 - 1043
[8] Generalized Kähler Spaces in Eisenhart’s Sense Admitting a Holomorphically Projective Mapping
Miloš Z. Petrović
Ljubica S. Velimirović
Mediterranean Journal of Mathematics, 2018, 15
[9] Generalized Almost Hermitian Spaces and Holomorphically Projective Mappings
Petrovic, Milos Z.
Velimirovic, Ljubica S.
MEDITERRANEAN JOURNAL OF MATHEMATICS, 2020, 17 (03)
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Stankovic, MS
Mincic, SM
Velimirovic, LS
CZECHOSLOVAK MATHEMATICAL JOURNAL, 2004, 54 (03) : 701 - 715

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