Ruled Surfaces According to Bishop Frame in the Euclidean 3-Space

被引：2

作者：

Masal, Melek ^{[1
]}

Azak, Ayse Zeynep ^{[1
]}

机构：

[1] Sakarya Univ, Sakarya, Turkey

来源：

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES INDIA SECTION A-PHYSICAL SCIENCES | 2019年 / 89卷 / 02期

关键词：

Bishop frame; Euclidean; 3-space; Ruled surfaces;

D O I：

10.1007/s40010-018-0546-y

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：

Attempts have been made to introduce ruled surfaces generated from any vector X, Bishop Darboux vector and Bishop vectors. Some properties with respect to developable and minimal and the relations between the integral invariants of these surfaces are discussed. Also the fundamental forms, geodesic curvatures, normal curvatures and geodesic torsions are calculated, and some results are obtained.

引用

页码：415 / 424

页数：10

共 19 条

[1] Bahaddin Bukcu B., 2009, WORLD ACAD SCI ENG T, V35, P1039
[2] Biran L, 1975, DIFERANSIYEL GEOMETR
[3] THERE IS MORE THAN ONE WAY TO FRAME A CURVE
BISHOP, RL
[J]. AMERICAN MATHEMATICAL MONTHLY, 1975, 82 (03) : 246 - 251
[4] SPECIAL BISHOP MOTION AND BISHOP DARBOUX ROTATION AXIS OF THE SPACE CURVE
Bukcu, Bahaddin
Karacan, Murat Kemal
[J]. JOURNAL OF DYNAMICAL SYSTEMS AND GEOMETRIC THEORIES, 2008, 6 (01) : 27 - 34
[5] do Carmo Manfredo P., 1976, DIFFERENTIAL GEOMETR
[6] Ghadami R., 2012, INT J PURE APPL MATH, V74, P455
[7] Guler F, 2014, J MATH COMPUT SCI, V4, P50
[8] Guven I.A., 2011, International Mathematical Forum, V6, P1209
[9] Hacsalihoglu HH, 1983, DIFERENSIYEL GEOMETR
[10] Izd M, 2013, TRANSNATL J MATH ANA, V1, P9

← 1 2 →