A study on f-biharmonic curves in S(1,4)

2018 ◽  
Author(s):  
Bilal Eftal Acet ◽  
Selcen Yüksel Perktaş ◽  
Feyza Esra Erdoğan
Keyword(s):  
Biharmonic Curves

scholarly journals f-Biharmonic Curves in the Three-dimensional Para-Sasakian Space Forms

2021 ◽  
pp. 369-379
Author(s):  
Murat Altunbaş
Keyword(s):  
Three Dimensional ◽  
Space Forms ◽  
3 Dimensional ◽  
Sasakian Space Forms ◽  
Sasakian Structures ◽  
Biharmonic Curves

In this paper, we give some characterizations for proper f-biharmonic curves in the para-Bianchi-Cartan-Vranceanu space forms with 3-dimensional para-Sasakian structures.

scholarly journals On characterization of horizontal biharmonic curves in H^2 × R

2020 ◽  
Vol 15 (2) ◽  
pp. 35-41
Author(s):  
Talat Körpinar ◽  
Essin Turhan
Keyword(s):  
Curvature And Torsion ◽  
Biharmonic Curves

In this paper, we study biharmonic curves in H2 × R. We show that all of them are helices. By using the curvature and torsion of the curves, we give some characterizations of horizontal biharmonic curves in H2 × R.

scholarly journals CHARACTERIZATION OF SPACELIKE BIHARMONIC CURVES WITH TIMELIKE BINORMAL ACCORDING TO FLAT METRIC IN LORENTZIAN HEISENBERG GROUP Heis³ - doi: 10.5269/bspm.v30i2.14706

2011 ◽  
Vol 30 (2) ◽  
pp. 101-107
Author(s):  
Talat Körpınar ◽  
Essin Turhan
Keyword(s):  
Heisenberg Group ◽  
Parametric Representation ◽  
Flat Metric ◽  
Curvature And Torsion ◽  
Biharmonic Curves

In this paper, we study spacelike biharmonic curves with timelike binormal according to flat metric in the Lorentzian Heisenberg group Heis³. We characterize spacelike biharmonic curves with timelike binormal in terms of their curvature and torsion. Additionally, we determine the parametric representation of the spacelike biharmonic curves with timelike binormal according to flat metric from this characterization.

scholarly journals BIHARMONIC SUBMANIFOLDS IN NONFLAT LORENTZ 3-SPACE FORMS

2011 ◽  
Vol 85 (3) ◽  
pp. 422-432 ◽  
Author(s):  
TORU SASAHARA
Keyword(s):  
Biharmonic Submanifolds ◽  
De Sitter ◽  
Space Forms ◽  
Curves And Surfaces ◽  
Biharmonic Curves

AbstractThe purpose of this paper is to classify nonharmonic biharmonic curves and surfaces in de Sitter 3-space and anti-de Sitter 3-space.

scholarly journals Biharmonic curves in Minkowski3-space

2003 ◽  
Vol 2003 (21) ◽  
pp. 1365-1368 ◽  
Author(s):  
Jun-Ichi Inoguchi
Keyword(s):  
Geometric Interpretation ◽  
Biharmonic Curves

We give a differential geometric interpretation for the classification of biharmonic curves in semi-Euclidean3-space due to Chen and Ishikawa (1991).

Sign in / Sign up

Export Citation Format

Share Document