Open AccessThe Infinitesimal Holomorphically Projective Deformations of Special Parabolically Kahlerian Spaces: التشوّهات الهولومورفيّة الإسقاطيّة اللامتناهية في الصغر لفضاءات كيلير المكافئيّة الخاصّة
Author(s) -
Namer Hasan Ebou Namer Hasan Ebou
Publication year - 2022
Publication title -
al-mağallaẗ al-ʿarabiyyaẗ li-l-ʿulūm wa-našr abḥāṯ
Language(s) - English
Resource type - Journals
ISSN - 2518-5780
DOI - 10.26389/ajsrp.e261021
Subject(s) - holomorphic function , infinitesimal , mathematics , pure mathematics , mathematical analysis , projective test , projective space , collineation , space (punctuation) , linguistics , philosophy
We present the most important concepts related to the research: Kahler parabolic space, the holomorphic curve and the projective holomorphic mapping, then define the infinitesimal deformations between Kahler parabolic spaces and the infinitesimally projective holomorphic deformations in Kahler parabolic spaces, and we also find the necessary and sufficient conditions for the Kahler parabolic space to be a non- trivially deformation holomorphic projective. Then we study the infinitesimally projective holomorphic deformation of semi- symmetric and symmetric Kahler parabolic spacesand affine equal Kahler parabolic spaces.