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(α, β)-metrics with killing β of constant length
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نویسنده
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tabatabaeifar tayebeh ,najafi behzad
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منبع
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aut journal of mathematics and computing - 2020 - دوره : 1 - شماره : 1 - صفحه:27 -36
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چکیده
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The class of (α,β)-metrics is a rich and important class of finsler metrics, which is extensively studied. here, we study (α,β)-metrics with killing of constant length 1-form β and find a simplified formula for their ricci curvatures. then, weshow that if f=α+β+bfrac{β^2}{α} is an einstein finsler metric, then α is an einstein riemann metric.
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کلیدواژه
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finsler metric ,(α ,β)-metric، einstein manifold
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آدرس
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amirkabir university of technology, department of mathematics and computer science, iran, amirkabir university of technology, department of mathematics and computer science, iran
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پست الکترونیکی
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behzad.najafi@aut.ac.ir
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Authors
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