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On strongly Ricci-Quadratic Finsler Metrics

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Abstract

Finsler metrics being Ricci-quadratic is a non-Riemannian condition since the Ricci curvature (tensor) is always Ricci-quadratic for Riemannian metrics. In this paper, we introduce the notion of strongly Ricci-quadratic Finsler metrics. We classify strongly Ricci-quadratic Randers metrics expressed in a navigation form.

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Authors and Affiliations

  1. Department of Mathematics, Istanbul Bilgi University, Eski Silahtaraga Elektrik Santrali, KazimKarabekir Cad. No: 2/13 Eyupsultan, 34060, Istanbul, Turkey

    Esra Sengelen Sevim

  2. Department of Mathematics, Indiana University-Purdue University, IUPUI School of Science, 402 N. Blackford Street, Indianapolis, IN, 46202, USA

    Zhongmin Shen

  3. Department of Industrial Engineering, Antalya Bilim University, Ciplakli Akdeniz Blv. No: 290-A, Döşemealtı, 07190, Antalya, Turkey

    Semail Ülgen

Authors
  1. Esra Sengelen Sevim
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  2. Zhongmin Shen
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  3. Semail Ülgen
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Correspondence to Semail Ülgen.

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Financial interests: All authors certify that they have no affiliations with or involvement in any organization or entity with any financial interest or nonfinancial interest in the subject matter or materials discussed in this manuscript. Non-financial interests: On behalf of all authors, the corresponding author states that there is no conflict of interest.

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Sevim, E.S., Shen, Z. & Ülgen, S. On strongly Ricci-Quadratic Finsler Metrics. J Geom Anal 33, 326 (2023). https://doi.org/10.1007/s12220-023-01389-5

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  • DOI: https://doi.org/10.1007/s12220-023-01389-5

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