Results 11 to 20 of about 592 (64)
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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Two dimensional kinematic surfaces with constant scalar curvature in Lorentz-Minkowski 7-space
Nonlinear Engineering, 2017 In this paper we analyzed the problem of studying locally the scalar curvature S of the two dimensional kinematic surfaces obtained by the homothetic motion of a helix in Lorentz-Minkowski space E17 $\text{E}^7_1$ .
Solouma E. M., Wageeda M. M.
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On Riemann wave superpositions obtained from the Euler system [PDF]
Open Communications in Nonlinear Mathematical PhysicsThe paper contains an analysis of the conditions for the existence of elastic versus non-elastic wave superpositions governed by the Euler system in (1+1)-dimensions.
Łukasz Chomienia +1 more
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A metric property of umbilic points
, 2003 In the space $\mathbb U^4$ of cubic forms of surfaces, regarded as a $G$-space and endowed with a natural invariant metric, the ratio of the volumes of those representing umbilic points with negative to those with positive indexes is evaluated in terms ...
J. Sotomayor +3 more
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Curvature lines on orthogonal surfaces of R3 and Joachimsthal Theorem
Civilizar, 2005 In this paper is studied, as a complement of Joachimsthal theorem, the behavior of curvature lines near a principal cycle common to two orthogonal surfaces.
Ronaldo A. Garcia
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Characterizations of Special Curves [PDF]
, 2012 In this study, the new characterizations of special curves are investigated without using the curvatures of these special curves: general helices, slant helices, Bertrand curves, Mannheim curves.
Saracoglu, Semra, Yayli, Yusuf
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Compact surfaces with no Bonnet mate
, 2017 This note gives sufficient conditions (isothermic or totally nonisothermic) for an immersion of a compact surface to have no Bonnet mate.Comment: 7 pages ...
Jensen, Gary R. +2 more
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Demonstratio MathematicaAn osculating curve is a type of curve in space that holds significance in the study of differential geometry. In this article, we investigate certain geometric invariants of osculating curves on smooth and regularly immersed surfaces under conformal ...
Singh Kuljeet +2 more
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A nonstandard characterization of regular surfaces [PDF]
, 2007 In the present work we approach the study of surfaces using Nonstandard Analysis, by providing first a nonstandard characterization of a surface.
Almeida, R
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Non-homogeneous fully nonlinear contracting flows of convex hypersurfaces
Advanced Nonlinear StudiesWe consider a general class of non-homogeneous contracting flows of convex hypersurfaces in Rn+1 ${\mathbb{R}}^{n+1}$ , and prove the existence and regularity of the flow before extincting to a point in finite time.
Guan Pengfei, Huang Jiuzhou, Liu Jiawei
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