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

Lenka Vítková (), Irena Hinterleitner and Josef Mikeš
Additional contact information
Lenka Vítková: Department of Algebra and Geometry, Faculty of Science, Palacký University in Olomouc, 779 00 Olomouc, Czech Republic
Irena Hinterleitner: Department of Mathematics and Descriptive Geometry, Faculty of Civil Engineering, Brno University of Technology, 602 00 Brno, Czech Republic
Josef Mikeš: Department of Algebra and Geometry, Faculty of Science, Palacký University in Olomouc, 779 00 Olomouc, Czech Republic

Mathematics, 2024, vol. 12, issue 8, 1-13

Abstract: In this work, we consider holomorphically projective mappings of (pseudo-) Kähler 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.

Keywords: geodesic; holomorphically projective mappings; Kähler space; rigidity; Riemann tensor; symmetric space (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/12/8/1239/pdf (application/pdf)
https://www.mdpi.com/2227-7390/12/8/1239/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:12:y:2024:i:8:p:1239-:d:1379142

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().