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some geometrical properties of the oscillator group
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نویسنده
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aryanejad y.
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منبع
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caspian journal of mathematical sciences - 2020 - دوره : 9 - شماره : 2 - صفحه:284 -293
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چکیده
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We consider the oscillator group equipped with a bi-invariant lorentzian metric. some geometrical properties of this space and the harmonicity properties of left-invariant vector fields on this space are determined. in some cases, all these vector fields are critical points for the energy functional restricted to vector fields. left-invariant vector fields defining harmonic maps are also classified, and the energy of these vector fields is explicitly calculated.
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کلیدواژه
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oscillator group ,ricci solitons ,harmonic vector fields ,harmonic maps
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آدرس
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payame noor university, department of mathematics, iran
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پست الکترونیکی
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y.aryanejad@pnu.ac.ir
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Authors
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