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generalized lorentzian ricci solitons on 3-dimensional lie groups associated to the bott connection
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نویسنده
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fasihi ramandi ghodratallah ,azami shahroud ,pirhadi vahid
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منبع
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aut journal of mathematics and computing - 2024 - دوره : 5 - شماره : 4 - صفحه:305 -319
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چکیده
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In this paper, we investigate which one of the non-isometric left-invariant lorentz metrics g on 3-dimensional lie groups satisfies the generalized ricci soliton equation aricb[g] + b 2 lb xg + cx♭ ⊗ x♭ = λg associated to the bott connection ∇b, here x is a vector field and λ, a, b, c are real constants such that c ̸= 0. a complete classification of this structure on 3-dimensional lorentzian lie groups will be presented.
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کلیدواژه
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left-invariant lorentz metric ,generalized ricci soliton ,pseudo-riemannian metric ,lie group
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آدرس
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imam khomeini international university, faculty of science, department of pure mathematics, iran, imam khomeini international university, faculty of science, department of pure mathematics, iran, university of kashan, faculty of mathematics, department of pure mathematics, iran
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پست الکترونیکی
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v.pirhadi@kashanu.ac.ir
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Authors
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