Found 176 Documents (Results 1–100)
The critical curvature degree of an algebraic variety. (English) Zbl 1527.14114
Reviewer: Jana Chalmovianská (Bratislava)
A new method for designing involute trajectory timelike ruled surfaces in Minkowski 3-space. (English) Zbl 07805586
On the harmonic evolute of time-like Hasimoto surfaces in Lorentz-Minkowski space. (English) Zbl 1531.53011
Iterating skew evolutes and skew involutes: a linear analog of bicycle kinematics. (English) Zbl 1539.53015
Reviewer: Anton Gfrerrer (Graz)
On the equiform geometry of the involute-evolute curve couple in hyperbolic and de Sitter spaces. (English) Zbl 1538.53004
Evolutes of conics in the quasi-hyperbolic and the hyperbolic plane. (English) Zbl 1521.51008
Reviewer: Victor V. Pambuccian (Glendale)
Pedal and contrapedal curves of framed immersions in the Euclidean 3-space. (English) Zbl 1521.53003
Reviewer: Anton Gfrerrer (Graz)
A discrete four vertex theorem for hyperbolic polygons. (English) Zbl 1518.51011
Reviewer: Elizaveta Zamorzaeva (Chişinău)
MSC:
51L15
Evolutes and focal surfaces of \((1, k)\)-type curves with respect to Bishop frame in Euclidean 3-space. (English) Zbl 1529.53005
The persistent homology of cyclic graphs. (English) Zbl 07633849
MSC:
68U05
The singular evolutoids set and the extended evolutoids front. (English) Zbl 1501.53004
Reviewer: Ergin Bayram (Samsun)
Evolutes of meridians and asymptotics on pseudospheres. (English. Russian original) Zbl 1493.51013
J. Math. Sci., New York 263, No. 3, 371-378 (2022); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 169, 23-30 (2019).
Reviewer: Victor V. Pambuccian (Glendale)
Area-invariant pedal-like curves derived from the ellipse. (English) Zbl 1497.53010
Reviewer: Hans-Peter Schröcker (Innsbruck)
Equi-affine plane curves with singular points. (English) Zbl 1494.53013
Reviewer: Huili Liu (Shenyang)
Evolutes of the \((n, m)\)-cusp mixed-type curves in the Lorentz-Minkowski plane. (English) Zbl 07819972
Harmonic evolute surface of tubular surfaces via \(\mathbb{B}\)-Darboux frame in Euclidean 3-space. (English) Zbl 1484.53024
MSC:
53A05
Equilibria of plane convex bodies. (English) Zbl 1479.52004
Reviewer: Robert Dawson (Halifax)
Caustics of light rays and Euler’s angle of inclination. (English) Zbl 1468.53004
Reviewer: Ergin Bayram (Samsun)
Steiner’s hat: a constant-area deltoid associated with the ellipse. (English) Zbl 1467.51011
Reviewer: Robert W. van der Waall (Amsterdam)
Generalized involute and evolute curves of equiform spacelike curves with a timelike equiform principal normal in \(E_1^3\). (English) Zbl 1461.53007
Generalized quaternionic involute-evolute curves in the Euclidean four-space \(E^4\). (English) Zbl 1447.53010
Envelope of intermediate lines of a plane curve. (English) Zbl 1442.53005
Reviewer: Huili Liu (Shenyang)
MSC:
53A15
On affine evolutoids. (English) Zbl 1476.53031
Reviewer: Daniel Fox (Madrid)
MSC:
53A15
Evolutes of fronts in the Minkowski plane. (English) Zbl 1433.53019
Reviewer: Niels Lubbes (Linz)
Harmonic evolutes of \(B\)-scrolls with constant mean curvature in Lorentz-Minkowski space. (English) Zbl 1422.53011
The conjugate locus on convex surfaces. (English) Zbl 1419.53005
Reviewer: Benjamin McKay (Cork)
A new approach to find a generalized evolute and involute curve in 4-dimensional Minkowski space-time. (English) Zbl 1406.53006
On special kinds of involute and evolute curves in 4-dimensional Minkowski space. (English) Zbl 1423.53005
Evolutes of curves in the Lorentz-Minkowski plane. (English) Zbl 1428.53020
Izumiya, Shyuichi (ed.) et al., Singularities in generic geometry. Proceedings of the 4th workshop on singularities in generic geometry and applications (Valencia IV), Kobe, Japan, June 3–6, 2015 and Kyoto, Japan, June 8–10, 2015. Tokyo: Mathematical Society of Japan (MSJ). Adv. Stud. Pure Math. 78, 313-330 (2018).
Reviewer: Hans Havlicek (Wien)
Geometric properties of rotation minimizing vector fields along curves in Riemannian manifolds. (English) Zbl 1424.53040
On evolute curves in terms of inextensible flows of in \(\mathbb E^3\). (English) Zbl 1424.53031
MSC:
53A35
Iterating evolutes of spacial polygons and of spacial curves. (English) Zbl 1422.53005
Reviewer: Laurian Ioan Piscoran (Baia Mare)
MSC:
53A04
Singularities for evolutes of spherical curves in Heisenberg group. (Chinese. English summary) Zbl 1399.53003
On the invariants of ruled surfaces generated by the dual involute Frenet trihedron. (English) Zbl 1397.53016
Reviewer: N. K. Stephanidis (Thessaloniki)
Envelope of mid-planes of a surface and some classical notions of affine differential geometry. (English) Zbl 1396.53012
Reviewer: Friedrich Manhart (Wien)
MSC:
53A15
Iterating evolutes and involutes. (English) Zbl 1381.51007
Reviewer: Hans-Peter Schröcker (Innsbruck)
On algebraic minimal surfaces. (English) Zbl 1368.53007
A lower bound for the isoperimetric deficit. (English) Zbl 1368.52004
Reviewer: Pietro De Poi (Udine)
Some results on Frenet ruled surfaces along the evolute-involute curves, based on normal vector fields in \(E^3\). (English) Zbl 1345.53004
Mladenov, Ivaïlo M. (ed.) et al., Proceedings of the 17th international conference on geometry, integrability and quantization, Sts. Constantine and Elena (near Varna), Bulgaria, June 5–10, 2015. Sofia: Avangard Prima. 296-308 (2016).
Frenet apparatus of the curves and some special curves in the Euclidean 5-space \(E^5\). (English) Zbl 1389.53003
Evolutes of null torus fronts. (English) Zbl 1331.53007
MSC:
53A04
Evolutes of fronts on Euclidean 2-sphere. (English) Zbl 1331.53008
MSC:
53A04
Symbolic computation of equi-affine evolute for plane B-spline curves. (English) Zbl 1360.65062
Boissonnat, Jean-Daniel (ed.) et al., Curves and surfaces. 8th international conference, Paris, France, June 12–18, 2014. Revised selected papers. Cham: Springer (ISBN 978-3-319-22803-7/pbk; 978-3-319-22804-4/ebook). Lecture Notes in Computer Science 9213, 169-180 (2015).
The tautochrome, the evolute and Huygens’s pendulum clock. (Portuguese) Zbl 1391.01010
Reviewer: V. N. Saliĭ (Saratov)
Time-like constant slope surfaces and space-like Bertrand curves in Minkowski 3-space. (English) Zbl 1314.53025
Caustics of convex curves. (English) Zbl 1321.53006
Reviewer: Raúl Oset Sinha (València)
Iteration of involutes of constant width curves in the Minkowski plane. (English) Zbl 1305.52006
Reviewer: Rolf Schneider (Freiburg i. Br.)
The harmonic evolute of a surface in Minkowski 3-space. (English) Zbl 1310.53014
Reviewer: Stefka Hineva (Sofia)
Polygons with parallel opposite sides. (English) Zbl 1282.52001
Reviewer: Gabriela Cristescu (Arad)
Osculating curves: around the Tait-Kneser theorem. (English) Zbl 1294.53003
Reviewer: Gabriel Eduard Vilcu (Ploieşti)
MSC:
53A04
Pseudo-spherical evolutes of curves on a spacelike surface in three dimensional Lorentz-Minkowski space. (English) Zbl 1269.53023
Reviewer: Adrian Sandovici (Piatra Neamt)
Affine properties of convex equal-area polygons. (English) Zbl 1255.52001
Reviewer: Alina Stancu (Lowell)
Curves in the Minkowski plane and their contact with pseudo-circles. (English) Zbl 1267.53011
Reviewer: Anton Gfrerrer (Graz)
Some new notes on the involutes of the timelike curves in Minkowski 3-space. (English) Zbl 1243.53022
Level curves for the sum of the squares of the normals to an ellipse. (English) Zbl 1247.51017
Reviewer: Rolf Riesinger (Wien)
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