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<p>In this paper, we investigate a class of Finsler gradient almost Ricci solitons of general <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\((\alpha ,\beta )\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mo stretchy="false">(</mo> <mi>α</mi> <mo>,</mo> <mi>β</mi> <mo stretchy="false">)</mo> </mrow> </math></EquationSource> </InlineEquation>-metrics type. We classify Finsler gradient almost Ricci solitons of polynomial general <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\((\alpha ,\beta )\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mo stretchy="false">(</mo> <mi>α</mi> <mo>,</mo> <mi>β</mi> <mo stretchy="false">)</mo> </mrow> </math></EquationSource> </InlineEquation>-metrics type. These solitons must be steady or of Randers type. Furthermore, we determine a class of Finsler gradient almost Ricci solitons of spherically symmetric type.</p>

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On a Class of Finsler Gradient Almost Ricci Soliton

  • 期刊论文

  • 发表日期：

    2026年2月18日

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  • Hongmei Zhu,
  • Wenhao Wang

摘要

In this paper, we investigate a class of Finsler gradient almost Ricci solitons of general \((\alpha ,\beta )\) ( α , β ) -metrics type. We classify Finsler gradient almost Ricci solitons of polynomial general \((\alpha ,\beta )\) ( α , β ) -metrics type. These solitons must be steady or of Randers type. Furthermore, we determine a class of Finsler gradient almost Ricci solitons of spherically symmetric type.