Rotation minimizing frames and spherical curves in simply isotropic and pseudo-isotropic 3-spaces
LCB Da Silva - arXiv preprint arXiv:1707.06321, 2017 - arxiv.org
In this work, we are interested in the differential geometry of curves in the simply isotropic
and pseudo-isotropic 3-spaces, which are examples of Cayley-Klein geometries whose …
and pseudo-isotropic 3-spaces, which are examples of Cayley-Klein geometries whose …
Characterization of manifolds of constant curvature by spherical curves
LCB da Silva, JD da Silva - Annali di Matematica Pura ed Applicata (1923 …, 2020 - Springer
It is known that the so-called rotation minimizing (RM) frames allow for a simple and elegant
characterization of geodesic spherical curves in Euclidean, hyperbolic, and spherical …
characterization of geodesic spherical curves in Euclidean, hyperbolic, and spherical …
A Characterization of curves that lie on a totally umbilical surface of a space form
R López - Journal of Geometry, 2025 - Springer
We give necessary and sufficient conditions on the curvature and the torsion of a regular
curve of the space forms\({\mathbb {H}}^ 3\) and\({\mathbb {S}}^ 3\) to be contained in a …
curve of the space forms\({\mathbb {H}}^ 3\) and\({\mathbb {S}}^ 3\) to be contained in a …
Minimal twist accretive growth with spatial curve evolution
G Tuğ - Mathematical Methods in the Applied Sciences, 2021 - Wiley Online Library
In this work, we consider the Rotation Minimizing frame attached to a spatial curve to explain
the kinematics of the accretive growth. Choosing this frame provides minimal twist along the …
the kinematics of the accretive growth. Choosing this frame provides minimal twist along the …
Curves orthogonal to a vector field in Euclidean spaces
LCB Da Silva, GS Ferreira Jr - arXiv preprint arXiv:1908.02834, 2019 - arxiv.org
A curve is rectifying if it lies on a moving hyperplane orthogonal to its curvature vector. In this
work, we extend the main result of [Chen 2017, Tamkang J. Math. 48, 209] to any space …
work, we extend the main result of [Chen 2017, Tamkang J. Math. 48, 209] to any space …
[PDF][PDF] Differential geometry of spherical curves and manifolds with constant sectional curvature
LCB da Silva, JD da Silva - arXiv preprint arXiv:1809.05943, 2018 - researchgate.net
It is known that the so-called rotation minimizing (RM) frames allow for a simple and elegant
characterization of geodesic spherical curves in Euclidean, hyperbolic, and spherical …
characterization of geodesic spherical curves in Euclidean, hyperbolic, and spherical …
[引用][C] Differential geometry of curves and manifolds with constant sectional curvature
LCB da Silva, JD da Silva - arXiv preprint arXiv:1809.05943, 2018