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PreprintarXiv licencearXiv

On Landsberg Unicorns of General (α,β)-Type

  • Salah G. Elgendi
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Abstract

In this paper, we investigate the classes of \lq\lq unicorns" of general (α,β)-metric types, namely, Landsberg general (α,β)-metrics that are non-Berwaldian. We provide explicit solutions for these metrics, including several new classes. Furthermore, we identify and exclude the cases that yield degenerate metrics to guarantee the geometric validity of the established solutions.

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Cite

BibTeXRIS
BibTeX
@misc{elgendi2026landsberg,
  title = {{On Landsberg Unicorns of General $(α,β)$-Type}},
  author = {Salah G. Elgendi},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.37241},
  eprint = {2610.37241},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.37241},
}
RIS
TY  - UNPB
TI  - On Landsberg Unicorns of General (α,β)-Type
AU  - Salah G. Elgendi
PY  - 2026
DA  - 2026/10/27
PB  - arXiv
DO  - 10.48550/arxiv.2610.37241
UR  - https://arxiv.org/abs/2610.37241
AB  - In this paper, we investigate the classes of \lq\lq unicorns" of general (α,β)-metric types, namely, Landsberg general (α,β)-metrics that are non-Berwaldian. We provide explicit solutions for these metrics, including several new classes. Furthermore, we identify and exclude the cases that yield degenerate metrics to guarantee the geometric validity of the established solutions.
ER  -