lorentzian plane
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2019 ◽  
Vol 28 (16) ◽  
pp. 2040010
Author(s):  
Ibrar Hussain ◽  
Tahirullah ◽  
Suhail Khan

Our focus is to investigate the Ricci solitons of the plane symmetric and static four-dimensional Lorentzian metrics. It is found that these metrics admit shrinking and concircular potential Ricci soliton vector fields with either 6- or 10-dimensional Lie algebra. Further, it is observed that the 4-dimensional Lorentzian static Ricci soliton manifolds are Einsteinian and hence the Ricci solitons are the trivial Ricci solitons.


2017 ◽  
Vol 14 (10) ◽  
pp. 1750140
Author(s):  
Abdullah Mağden ◽  
Süha Yılmaz ◽  
Yasin Ünlütürk

In this paper, we first obtain the differential equation characterizing position vector of time-like curve in Lorentzian plane [Formula: see text] Then we study the special curves such as Smarandache curves, circular indicatrices, and curves of constant breadth in Lorentzian plane [Formula: see text] We give some characterizations of these special curves in [Formula: see text]


2014 ◽  
Vol 69 (3) ◽  
pp. 144-155 ◽  
Author(s):  
François Fillastre
Keyword(s):  

2011 ◽  
Vol 9 (1) ◽  
pp. 1-9
Author(s):  
Hesna Kabadayi ◽  
Yusuf Yayli
Keyword(s):  

2009 ◽  
Vol 54 (1-2) ◽  
pp. 199-206 ◽  
Author(s):  
Salim Yüce ◽  
Nuri Kuruoğlu
Keyword(s):  

2007 ◽  
Vol 23 (12) ◽  
pp. 2111-2144 ◽  
Author(s):  
Bang-Yen Chen ◽  
Johan Fastenakels

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