Crofton's and poincar�'s formulas in the Lorentzian plane

1984 ◽  
Vol 15 (4) ◽  
Author(s):  
GracielaS. Birman
Keyword(s):  
Lorentzian Plane

Characterizations of special time-like curves in Lorentzian plane 𝕃2

2017 ◽  
Vol 14 (10) ◽  
pp. 1750140
Author(s):  
Abdullah Mağden ◽  
Süha Yılmaz ◽  
Yasin Ünlütürk
Keyword(s):  
Differential Equation ◽  
Position Vector ◽  
Constant Breadth ◽  
Lorentzian Plane ◽  
Special Time

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]

Four-dimensional Lorentzian plane symmetric static Ricci solitons

2019 ◽  
Vol 28 (16) ◽  
pp. 2040010
Author(s):  
Ibrar Hussain ◽  
Tahirullah ◽  
Suhail Khan
Keyword(s):  
Lie Algebra ◽  
Vector Fields ◽  
Ricci Soliton ◽  
Ricci Solitons ◽  
Plane Symmetric ◽  
Lorentzian Metrics ◽  
Lorentzian Plane

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.

scholarly journals Polygons of the Lorentzian plane and spherical simplexes

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

Classification of Flat Lagrangian Surfaces in Complex Lorentzian Plane

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

General Boosts in Lorentzian Plane

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