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<p>In this paper, we study the Minkowskian product Finsler manifolds. More precisely, we prove that if the Minkowskian product Finsler manifold is Einstein if and only if both factor manifolds are Einstein. In particular, either the product manifold is Ricci-flat or the product Finsler metric has a special form.</p>

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On Minkowskian Product Einstein–Finsler Spaces

  • 期刊论文

  • 发表日期：

    2026年5月25日

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  • Arti Sahu Gangopadhyay,
  • Ranadip Gangopadhyay,
  • Ghanashyam Kr. Prajapati,
  • Bankteshwar Tiwari

摘要

In this paper, we study the Minkowskian product Finsler manifolds. More precisely, we prove that if the Minkowskian product Finsler manifold is Einstein if and only if both factor manifolds are Einstein. In particular, either the product manifold is Ricci-flat or the product Finsler metric has a special form.