Higher-order curvatures of plane and space parametrized curves

M Crasmareanu - Algorithms, 2022 - mdpi.com
We start by introducing and studying two sequences of curvatures provided by the higher-
order derivatives of the usual Frenet equation of a given plane curve C. These curvatures …

[PDF][PDF] Normal Fermi-walker derivative

Ö Keskin, Y YAYLI - Mathematical Sciences and Applications E …, 2017 - dergipark.org.tr
In this paper, first, we defined normal Fermi-Walker derivative and applied for adapted
frame. Normal Fermi-Walker parallelism, normal non-rotating frame and Darboux vector of …

The flow-curvature of spacelike parametrized curves in the Lorentz plane

M Crasmareanu - Proceedings of the International Geometry …, 2022 - journals.ontu.edu.ua
The flow-curvature of spacelike parametrized curves in the Lorentz plane Page 1
Proceedings of the International Geometry Center Vol. 15, no. 2 (2022) pp. 101–109 The …

The Darboux Mate and the Higher Order Curvatures of Spherical Legendre Curves

M Crasmareanu - Geometry of Submanifolds and Applications, 2024 - Springer
We introduce and study a Darboux mate of a given spherical Legendre curve LC for the
Euclidean S 2. Also, a triple sequence of curvatures is provided by the higher order …

The flow-geodesic curvature and the flow-evolute of spherical curves

M CRASMAREANU - Turkish Journal of Mathematics, 2024 - journals.tubitak.gov.tr
We introduce and study a deformation of the geodesic curvature for a given spherical curve
γ. Also, wedefine a new type of evolute and two Fermi-Walker type derivatives for γ. Some …

The rotational curvature of plane curves

M Crasmareanu - … ştiinţifice ale Universităţii" Ovidius" Constanţa. Seria …, 2023 - sciendo.com
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 …

[PDF][PDF] The Pólya f-curvature of plane curves.

M Crasmareanu, GT Pripoae - Studia Universitatis Babes-Bolyai …, 2024 - math.uaic.ro
We introduce and study a new curvature function for plane curves inspired by the weighted
mean curvature of M. Gromov. We call it Pólya, being the difference between the usual …

[PDF][PDF] Fantastic (weak) hyper filters in hyper BE-algebras

X Cheng, X Xin, X Gao - Italian Journal of Pure and Applied Mathematics - ijpam.uniud.it
In this paper, fantastic (weak) hyper filters in hyper BE-algebras are introduced and
investigated. The relationships between fantastic (weak) hyper filters and (weak) hyper filters …

[PDF][PDF] The radial curvature of plane curves Dedicated to the memory of Academician Radu Miron

M Crasmareanu - Annals of the Alexandru Ioan Cuza University …, 2023 - math.uaic.ro
We introduce and study a new curvature function for plane curves inspired by the weighted
mean curvature of M. Gromov. We call it radial being the difference between the usual …

The flow-curvature of plane parametrized curves

M Crasmareanu - Communications Faculty of Sciences University of …, 2022 - dergipark.org.tr
We introduce and study a new frame and a new curvature function for a fixed
parametrization of a plane curve. This new frame is called flow since it involves the time …