Document Zbl 1516.30056

The flow-geodesic curvature and the flow-evolute of hyperbolic plane curves. (English) Zbl 1516.30056

Int. Electron. J. Geom. 16, No. 1, 225-231 (2023).

MSC:

30F45	Conformal metrics (hyperbolic, Poincaré, distance functions)
53C50	Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics
51M09	Elementary problems in hyperbolic and elliptic geometries

Keywords:

hyperbolic plane curve; curvature; geodesic

Cite Review PDF

Full Text: DOI

References:

[1]	Abdel-Aziz H. S.; Saad M. Khalifa; Abdel-Salam A. A., On involute-evolute curve couple in the hyperbolic and de Sitter spaces, J. Egypt. Math. Soc., 27(2019), paper po. 25, 18 p. Zbl 1430.53018 · Zbl 1430.53018
[2]	Babaarslan Murat; Munteanu Marian Ioan, Time-like loxodromes on rotational surfaces in Minkowski 3-space, An. ¸Stiin¸t. Univ. Al. I. Cuza Ia¸si Mat., 61(2015), no. 2, 472-484. Zbl 1374.53034 · Zbl 1374.53034
[3]	Crasmareanu Mircea, Magic conics, their integer points and complementary ellipses, An. ¸Stiin¸t. Univ. Al. I. Cuza Ia¸si Mat., 67(2021), no. 1, 129-148. Zbl 07621979 · Zbl 1513.11093
[4]	Crasmareanu Mircea, The flow-curvature of spacelike parametrized curves in the Lorentz plane, Proceedings of the International Geometry Center, 15(2022), no. 2, 100-108. MR4503638
[5]	Crasmareanu Mircea, The flow-curvature of plane parametrized curves, Commun. Fac. Sci. Univ. Ankara Ser. A1 Math. Stat., 72(2023), in press. · Zbl 1516.30056
[6]	Crasmareanu Mircea, The flow-geodesic curvature and the flow-evolute of spherical curves, submitted. · Zbl 1516.30056
[7]	Crasmareanu Mircea; Hre¸tcanu, Cristina-Elena, Golden differential geometry, Chaos Solitons Fractals, 38(2008), no. 5, 1229-1238. MR2456523 (2009k:53059)
[8]	Duggal Krishan L., Lorentzian geometry of globally framed manifolds, Acta Appl. Math., 19(1990), no. 2, 131-148. Zbl 0715.53045 · Zbl 0715.53045
[9]	Duggal Krishan L., Harmonic maps, morphisms and globally null manifolds, Int. J. Pure Appl. Math., 6(2003), no. 4, 421-438. Zbl 1059.53050 · Zbl 1059.53050
[10]	Duggal Krishan L., On scalar curvature in light-like geometry, J. Geom. Phys., 57(2007), no. 2, 473-481. Zbl 1107.53047 · Zbl 1107.53047
[11]	Foreman Brendan, Vertex-type curves in constant angle surfaces of Hyp2 × R, in Suceav˘a, Bogdan D. (ed.) et al., Recent advances in the geometry of submanifolds: dedicated to the memory of Franki Dillen (1963-2013). Proceedings. Providence, RI: American Mathematical Society, Contemporary Mathematics 674, 49-57 (2016). Zbl 1360.53082 · Zbl 1360.53082
[12]	Gábos Zoltán; Mester Agnes, Curves with constant geodesic curvature in the Bolyai-Lobachevskian plane, Stud. Univ. Babe¸s-Bolyai Math., 60(2015), no. 3, 463-470. Zbl 1374.53027 · Zbl 1374.53027

This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.