Open AccessSemi-parallel and harmonic surfaces in semi-Euclidean 4-space with index 2
Author(s) -
Mehmet Bayram Yildirim,
Kazım ̇Ilarslan
Publication year - 2019
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil1917743y
Subject(s) - mathematics , translation (biology) , surface (topology) , harmonic , euclidean geometry , euclidean space , mathematical analysis , space (punctuation) , minimal surface , geometry , pure mathematics , acoustics , computer science , physics , biochemistry , chemistry , messenger rna , gene , operating system
The present paper mainly deals with construction and investigation further properties of semi-parallel and harmonic surfaces. The first part of the study shall be devoted to investigate and present necessary and sufficient conditions of being semi-parallel surfaces by considering semi-parallelity condition R(X,Y).h = 0. In the light of the condition, the fact of a part of semi-parallel surfaces can be created by translation surfaces is captured. As a last result, we present that M must be a translation surface in the case of it is a harmonic surface.