Skip to main content
We gratefully acknowledge support from the Simons Foundation, member institutions, and all contributors. Donate
arXiv logo
Cornell University Logo

Mathematics > General Mathematics

arXiv:2210.00866 (math)
[Submitted on 28 Sep 2022]

Title:Conformally related invariant $(α,β)$-metrics on homogeneous spaces

Authors:Azar Fatahi, Masoumeh Hosseini, Hamid Reza Salimi Moghaddam
View PDF
Abstract:In this paper, we give the flag curvature formula of general $(\alpha,\beta)$-metrics of Berwald type. We study conformally related $(\alpha,\beta)$-metrics, especially general $(\alpha,\beta)$-metrics that are conformally related to invariant $(\alpha,\beta)$-metrics. Also, a necessary and sufficient condition for a Finsler metric conformally related to an $(\alpha,\beta)$-metric is given, and conformally related Douglas Randers metrics are studied. Finally, we present some examples of conformally related $(\alpha,\beta)$-metrics.
Subjects: General Mathematics (math.GM)
Report number: 47(8), 1559--1570
Cite as: arXiv:2210.00866 [math.GM]
  (or arXiv:2210.00866v1 [math.GM] for this version)
  https://doi.org/10.48550/arXiv.2210.00866
Journal reference: Quaestiones Mathematicae (2024)
Related DOI: https://doi.org/10.2989/16073606.2024.2328352

Submission history

From: Hamid Reza Salimi Moghaddam [view email]
[v1] Wed, 28 Sep 2022 15:38:32 UTC (8 KB)
Full-text links:

Access Paper:

  • View PDF
  • TeX Source
  • Other Formats
view license
Current browse context:
math.GM
< prev   |   next >
new | recent | 2022-10
Change to browse by:
math

References & Citations

export BibTeX citation

Bookmark

BibSonomy logo Reddit logo

Bibliographic and Citation Tools

Bibliographic Explorer (What is the Explorer?)
Connected Papers (What is Connected Papers?)
Litmaps (What is Litmaps?)
scite Smart Citations (What are Smart Citations?)

Code, Data and Media Associated with this Article

alphaXiv (What is alphaXiv?)
CatalyzeX Code Finder for Papers (What is CatalyzeX?)
DagsHub (What is DagsHub?)
Gotit.pub (What is GotitPub?)
Hugging Face (What is Huggingface?)
Papers with Code (What is Papers with Code?)
ScienceCast (What is ScienceCast?)

Demos

Replicate (What is Replicate?)
Hugging Face Spaces (What is Spaces?)
TXYZ.AI (What is TXYZ.AI?)

Recommenders and Search Tools

Influence Flower (What are Influence Flowers?)
CORE Recommender (What is CORE?)

arXivLabs: experimental projects with community collaborators

arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website.

Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them.

Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs.

Which authors of this paper are endorsers? | Disable MathJax (What is MathJax?)