On Lorentzian Ricci solitons on nilpotent Lie groups

2016 ◽  
Vol 290 (8-9) ◽  
pp. 1381-1405 ◽  
Author(s):  
Thomas H. Wears
Keyword(s):  
Lie Groups ◽  
Nilpotent Lie Groups ◽  
Ricci Solitons

scholarly journals Explicit Ricci Solitons on Nilpotent Lie Groups

2011 ◽  
Vol 23 (1) ◽  
pp. 47-72 ◽  
Author(s):  
Michael Bradford Williams
Keyword(s):  
Lie Groups ◽  
Nilpotent Lie Groups ◽  
Ricci Solitons

Pseudo-algebraic Ricci solitons on Einstein nilradicals

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Zaili Yan
Keyword(s):  
Variational Method ◽  
Lie Groups ◽  
Lie Group ◽  
Ricci Soliton ◽  
Nilpotent Lie Groups ◽  
Ricci Solitons ◽  
Codimension One ◽  
Abelian Ideal ◽  
Einstein Nilradical

Abstract We develop a variational method to find pseudo-algebraic Ricci solitons on connected Lie groups. As applications, we prove that every Einstein nilradical admits a non-Riemannian algebraic Ricci soliton, and that any algebraic Ricci soliton on a semi-simple Lie group is Einstein. Furthermore, we construct several Lorentz algebraic Ricci solitons on the nilpotent Lie groups which have a codimension one abelian ideal.

Invariant Ricci solitons on three-dimensional metric Lie groups with semi-symmetric connection

2021 ◽  
pp. 80-85
Author(s):  
Pavel Nikolaevich Klepikov ◽  
◽  
Evgeny Dmitrievich Rodionov ◽  
Olesya Pavlovna Khromova ◽  
◽  
...  
Keyword(s):  
Lie Groups ◽  
Three Dimensional ◽  
Ricci Solitons ◽  
Symmetric Connection

scholarly journals An invariant for unitary representations of nilpotent Lie groups.

1987 ◽  
Vol 34 (1) ◽  
pp. 23-30 ◽  
Author(s):  
C. Benson ◽  
G. Ratcliff
Keyword(s):  
Lie Groups ◽  
Unitary Representations ◽  
Nilpotent Lie Groups
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