Results 31 to 40 of about 88 (84)
The Pólya f-curvature of plane curves [PDF]
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 curvature and the inner product of the normal vector field with the Pólya ...
PRIPOAE, Gabriel-Teodor +1 more
core +1 more source
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
wiley +1 more source
On Soliton Equations in Classical Differential Geometry [PDF]
, 2016 [Valchev Tihomir; Вълчев Тихомир]In this survey report we shall briefly sketch certain problems from the classical differential geometry of curves and surfaces that lead to nonlinear partial differential equations known from soliton theory.
Valchev, Tihomir
core
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
doaj +1 more source
ANY CYCLIC QUADRILATERAL CAN BE INSCRIBED IN ANY CLOSED CONVEX SMOOTH CURVE
Forum of Mathematics, Sigma, 2018 We prove that any cyclic quadrilateral can be inscribed in any closed convex $C^{1}$ -curve. The smoothness condition is not required if the quadrilateral is a rectangle.
ARSENIY AKOPYAN, SERGEY AVVAKUMOV
doaj +1 more source
Non‐Newtonian Evolutoids and Pedaloids of Multiplicative Plane Curves
International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.The aim of this paper is to investigate properties of non‐Newtonian (multiplicative) evolutoids and pedaloids of multiplicative plane curves in multiplicative Euclidean space. First, we define the notions of multiplicative pedal curve, multiplicative evolute, multiplicative evolutoids, multiplicative pedaloids, and multiplicative contrapedal of regular
Xinyu Yao, Haiming Liu, Shikha Binwal
wiley +1 more source
GEODESIC COMPLETENESS FOR SOBOLEV METRICS ON THE SPACE OF IMMERSED PLANE CURVES
Forum of Mathematics, Sigma, 2014 We study properties of Sobolev-type metrics on the space of immersed plane curves. We show that the geodesic equation for Sobolev-type metrics with constant coefficients of order 2 and higher is globally well-posed for smooth initial data as well as for ...
MARTINS BRUVERIS +2 more
doaj +1 more source
Veterinary Dermatology, Volume 35, Issue 4, Page 408-417, August 2024.Background – Supplementation of polyunsaturated fatty acids (PUFA) enables dose reduction of prednisolone and ciclosporin in canine atopic dermatitis (cAD). Objective – To determine if oral administration of PUFA can reduce the dose of oclacitinib for cAD. Conclusion – Oral supplementation of PUFA allowed dose reduction of oclacitinib and improved pVAS,
Laura Schäfer, Nina Thom
wiley +1 more source
On characterizations of g n-helices with Euler angles
Open MathematicsCurvature and torsion, in their most general forms, are defined in terms of Euler angle-based parametrization via the Cartan matrix, which leads to the Serret-Frenet equations.
Altinok Mesut, Kula Levent
doaj +1 more source
A New Approach to the Invariants of the Ruled Surfaces with a Ruling Area Vector [PDF]
, 2010 In this paper, the area vector of a closed space curve and the Steineer vector of a motion are extensively studied by the methods of differential geometry. A new ruled surface whose ruling is the area vector of a closed space curve formed during a closed
R Güneş, H B Karadag, M Karadag
core