The relation between parameter curves and lines of curvature on canal surfaces

被引：0

作者：

Dogan, Fatih ^{[1
]}

Yayli, Yusuf ^{[2
]}

机构：

[1] Bartin Univ, Dept Math, Fac Sci, Bartin, Turkey

[2] Ankara Univ, Dept Math, Fac Sci, Ankara, Turkey

来源：

KUWAIT JOURNAL OF SCIENCE | 2017年 / 44卷 / 01期

关键词：

Canal surface; generalized tube; line of curvature; parameter curve; spine curve;

D O I：

暂无

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

A canal surface is the envelope of a moving sphere with varying radius, defined by the trajectory C(t) (spine curve) of its center and a radius function r(t). In this paper, we investigate the parameter curves which are also lines of curvature on the canal surface. Last of all, for special spine curves we obtain the radius functions of canal surfaces.

引用

页码：29 / 35

页数：7

共 50 条

[21] ON THE ISOMETRY OF SURFACES PRESERVING THE LINES OF CURVATURE
YANG, WM
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 1990, 42 (02) : 231 - 245
[22] Lines of curvature on surfaces immersed in ℝ4
Gutierrez C.
Guadalupe I.
Tribuzy R.
Guíñez V.
Boletim da Sociedade Brasileira de Matemática - Bulletin/Brazilian Mathematical Society, 1997, 28 (2) : 233 - 251
[23] Parameter spaces for curves on surfaces and enumeration of rational curves
Caporaso, L
Harris, J
COMPOSITIO MATHEMATICA, 1998, 113 (02) : 155 - 208
[24] CURVATURE-DEPENDENT PARAMETERIZATION OF CURVES AND SURFACES
KOSTERS, M
COMPUTER-AIDED DESIGN, 1991, 23 (08) : 569 - 578
[25] The total intrinsic curvature of curves in Riemannian surfaces
Domenico Mucci
Alberto Saracco
Rendiconti del Circolo Matematico di Palermo Series 2, 2021, 70 : 521 - 557
[26] Spaces of Curves with Constrained Curvature on Hyperbolic Surfaces
Saldanha, Nicolau C.
Zuhlke, Pedro
INDIANA UNIVERSITY MATHEMATICS JOURNAL, 2020, 69 (04) : 1403 - 1443
[27] The total intrinsic curvature of curves in Riemannian surfaces
Mucci, Domenico
Saracco, Alberto
RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO, 2021, 70 (01) : 521 - 557
[28] A note on constant geodesic curvature curves on surfaces
Sun, Taoniu
ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 2009, 26 (05): : 1569 - 1584
[29] Generalisations of Jamet on the curvature of triangular curves, curves and tetrahedral symmetric surfaces
Goormaghrigh, R
COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES, 1918, 167 : 751 - 753
[30] Analyzing Relation of Canal Operating Force and Canal Curvature in RCT: A Mathematical Overview
Pachpore, S. S.
V. Jadhav, Pradeep
Ghorpade, Ratnakar R.
MATERIALS TODAY-PROCEEDINGS, 2021, 47 : 5690 - 5696

← 1 2 3 4 5 →