{ "id": "2309.01830", "version": "v1", "published": "2023-09-04T21:46:50.000Z", "updated": "2023-09-04T21:46:50.000Z", "title": "Geodesics and $F$-geodesics on tangent bundle with $\\varphi$-Sasaki metric over para-Kähler-Norden manifold", "authors": [ "Abderrahim Zagane" ], "comment": "16 pages", "categories": [ "math.DG" ], "abstract": "In this paper, we investigate some geodesics and $F$-geodesics problems on tangent bundle and on $\\varphi$-unit tangent bundle $T^{\\varphi}_{1}M$ equipped with the $\\varphi$-Sasaki metric over para-K\\\"{a}hler-Norden manifold $(M^{2m}, \\varphi, g)$.", "revisions": [ { "version": "v1", "updated": "2023-09-04T21:46:50.000Z" } ], "analyses": { "subjects": [ "53C22", "58E10", "53C15", "53C07" ], "keywords": [ "sasaki metric", "para-kähler-norden manifold", "unit tangent bundle", "geodesics problems" ], "note": { "typesetting": "TeX", "pages": 16, "language": "en", "license": "arXiv", "status": "editable" } } }