Rigidity of Holomorphically Projective Mappings of Kähler Spaces with Finite Complete Geodesics-Reference-Cited by-同舟云学术

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

Published:2024-04-19 Issue:8 Volume:12 Page:1239
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Vítková Lenka¹^ORCID,Hinterleitner Irena²^ORCID,Mikeš Josef¹^ORCID

Affiliation:

1. Department of Algebra and Geometry, Faculty of Science, Palacký University in Olomouc, 779 00 Olomouc, Czech Republic

2. Department of Mathematics and Descriptive Geometry, Faculty of Civil Engineering, Brno University of Technology, 602 00 Brno, Czech Republic

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.

Funder

Palacký University, Olomouc

Publisher

MDPI AG

Link

https://www.mdpi.com/2227-7390/12/8/1239/pdf

Reference88 articles.

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2. Some theorems on projective and conformal transformations;Yano;Koninkl. Nederl. Akad. Wet.,1957

3. On some special Kählerian spaces;Muto;Sci. Rep. Yokogama Natl. Univ.,1961

4. Mikeš, J. (1979). Geodesic and Holomorphically Projective Mappings of Special Riemannian Space. [Ph.D. Thesis, Odessa University].

5. On geodesic mappings of 2-Ricci symmetric Riemannian spaces;Math. Notes,1981

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