Results 21 to 30 of about 98 (90)
The rotational curvature of plane curves
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023 We introduce and study a new curvature function for plane curves inspired by the weighted mean curvature of M. Gromov. We call it rotational being the difference between the usual curvature and the inner product of the normal vector field and the angular
Crasmareanu Mircea
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On Spatial Quaternionic b-lift Curves
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023 This study is based on the discovered relationships between the quaternionic slant helix and the quaternionic general helix. In this direction, we first examined quaternions, spatial quaternionic curves and b-lift curves.
Altınkaya Anıl, Çalışkan Mustafa
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Modeling repulsive forces on fibres via knot energies
Computational and Mathematical Biophysics, 2014 Modeling of repulsive forces is essential to the understanding of certain bio-physical processes, especially for the motion of DNA molecules. These kinds of phenomena seem to be driven by some sort of “energy” which especially prevents the molecules from
Blatt Simon, Reiter Philipp
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On the torsional energy of torus knots under infinitesimal bending
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023 The article deals with the infinitesimal bending theory application to the knots theory. The impact of infinitesimal bending on the torsional energy at torus knots is considered, and the results show that it is not stationary under infinitesimal bending.
Maksimović Miroslav D. +4 more
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Hölder Parameterization of Iterated Function Systems and a Self-Affine Phenomenon
Analysis and Geometry in Metric Spaces, 2021 We investigate the Hölder geometry of curves generated by iterated function systems (IFS) in a complete metric space. A theorem of Hata from 1985 asserts that every connected attractor of an IFS is locally connected and path-connected.
Badger Matthew, Vellis Vyron
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Motion of Inextensible Quaternionic Curves and Modified Korteweg-de Vries Equation
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2022 Many curve evolutions have been determined which are integrable in recent times. The motion of curves can be defined by certain integrable equations including the modified Korteweg-de Vries.
Eren Kemal
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Certain Conditions for a Surface to Be an Oblate Ellipsoid in Three‐Dimensional Euclid Space
Journal of Mathematics, Volume 2026, Issue 1, 2026.In this note, we first demonstrate that, aside from planes, oblate ellipsoids are total umbilical surfaces in the three‐dimensional Euclidean space E3 under a general Euclidean metric, and vice versa. We then generalize the total torsion theorem of spheres to oblate ellipsoids.
Caiyun Liu, Pramita Mishra
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Some new types of associated curves in Euclidean 3-space
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2018 In this paper, we introduce the concept of D-direction curve and C- direction curve of a given curve using the alternative frame –N,C,W} in Euclidean 3-space.
Özdoğan Sibel +3 more
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Journal of Mathematics, Volume 2026, Issue 1, 2026.Within the scope of differential geometry, exploring how curves relate to each other has long been a broad area of study for many scholars. When investigating curves, particularly space curves, the concept of frame fields, such as the Frenet–Serret frame, proves invaluable.
Md Ajmal Khan +5 more
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Demonstratio MathematicaIn this study, singularity theory is used to explore the geometrical and topological properties of three types of curves and surfaces in multiplicative Euclidean space.
Li Jiaxin +3 more
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