[2109.05915] Two-step homogeneous geodesics in some homogeneous Finsler manifolds Skip to main content Search Submit Donate Log in Search arXiv Press Enter to search · Advanced search Mathematics > Differential Geometry arXiv:2109.05915 (math) [Submitted on 6 Sep 2021 ( v1 ), last revised 23 Mar 2024 (this version, v3)] Title: Two-step homogeneous geodesics in some homogeneous Finsler manifolds Authors: Masoumeh Hosseini , Hamid Reza Salimi Moghaddam View a PDF of the paper titled Two-step homogeneous geodesics in some homogeneous Finsler manifolds, by Masoumeh Hosseini and Hamid Reza Salimi Moghaddam View PDF HTML (experimental) Abstract: A natural extension of a homogeneous geodesic in homogeneous Riemannian spaces $G/H$, known as a two-step homogeneous geodesic, can be expressed of the form $\gamma(t)=\pi(\exp(tx)\exp(ty))$, where $x$ and $y$ are elements of the Lie algebra of $G$. This paper aims to expand this concept to homogeneous Finsler spaces. We provide certain sufficient conditions for $(\alpha,\beta)$ spaces and decomposable cubic spaces to possess a one-parameter family of invariant Finsler metrics that can be classified as two-step Finsler geodesic orbit spaces. Additionally, we present some illustrative examples of these spaces. Subjects: Differential Geometry (math.DG) MSC classes: 53C30, 53C60, 53C25, 22E60 Cite as: arXiv:2109.05915 [math.DG] (or arXiv:2109.05915v3 [math.DG] for this version) https://doi.org/10.48550/arXiv.2109.05915 Focus to learn more arXiv-issued DOI via DataCite Journal reference: Indian J Pure Appl Math (2025) Related DOI : https://doi.org/10.1007/s13226-025-00887-2 Focus to learn more DOI(s) linking to related resources Submission history From: Hamid Reza Salimi Moghaddam [ view email ] [v1] Mon, 6 Sep 2021 22:33:43 UTC (11 KB) [v2] Mon, 30 Jan 2023 21:16:29 UTC (11 KB) [v3] Sat, 23 Mar 2024 20:37:03 UTC (10 KB) Full-text links: Access Paper: View a PDF of the paper titled Two-step homogeneous geodesics in some homogeneous Finsler manifolds, by Masoumeh Hosseini and Hamid Reza Salimi Moghaddam View PDF HTML (experimental) TeX Source view license Current browse context: math.DG < prev | next > new | recent | 2021-09 Change to browse by: math References & Citations NASA ADS Google Scholar Semantic Scholar export BibTeX citation Loading... BibTeX formatted citation × loading... Data provided by: Bookmark Bibliographic Tools Bibliographic and Citation Tools Bibliographic Explorer Toggle Bibliographic Explorer ( What is the Explorer? ) Connected Papers Toggle Connected Papers ( What is Connected Papers? ) Litmaps Toggle Litmaps ( What is Litmaps? ) scite.ai Toggle scite Smart Citations ( What are Smart Citations? ) Code, Data, Media Code, Data and Media Associated with this Article alphaXiv Toggle alphaXiv ( What is alphaXiv? ) Links to Code Toggle CatalyzeX Code Finder for Papers ( What is CatalyzeX? ) DagsHub Toggle DagsHub ( What is DagsHub? ) GotitPub Toggle Gotit.pub ( What is GotitPub? ) Huggingface Toggle Hugging Face ( What is Huggingface? ) ScienceCast Toggle ScienceCast ( What is ScienceCast? ) Demos Demos Replicate Toggle Replicate ( What is Replicate? ) Spaces Toggle Hugging Face Spaces ( What is Spaces? ) Spaces Toggle TXYZ.AI ( What is TXYZ.AI? ) Related Papers Recommenders and Search Tools Link to Influence Flower Influence Flower ( What are Influence Flowers? ) Core recommender toggle CORE Recommender ( What is CORE? ) Author Venue Institution Topic About arXivLabs 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? ) We gratefully acknowledge support from our major funders , member institutions , , and all contributors. About · Help · Contact · Subscribe · Copyright · Privacy · Accessibility · Operational Status (opens in new tab) Major funding support from