伽利略空间和伪伽利略空间中一些特殊曲线的几何性质

　　三大改善活动机制简洁高效，是保障精益取得成果的重要抓手，更是精益管理活动的重中之重。该机制是作者推行精益管理活动20多年实践精髓的总结。本书围绕三大机制，将这套历经检验、行之有效的方法系统地整理总结出来。全书共分五篇，分别对全员经验改善活动的定义、愿景、目标、路径和实战事例等内容进行叙述，并阐述了全员推行精益改善的三大机制的目的和措施，后讲述了课题改善中发现问题、分析问题和解决问题的逻辑、路径与方法。

　　杜雅·法加尔（Doaa Farghal），博士．她曾在埃及的苏哈贾大学学习，并于2009年从数学系毕业。其研究方向为微分几何。

1 Basic Concepts and Previous Studies
1.1 Introduction
1.2 The three-dimensional Galilean space G
1.2.1 Curves in Galilean space G
1.2.2 Bishop frames
1.3 Natural geometry of ruled surfaces in G
1.3.1 Darboux frame of a curve lying on the ruled surface
of type I
1.3.2 Darboux frame of a curve lying on the ruled surface
of type III
1.4 Helices in G
1.5 Bertrand curves in G
1.6 Geometry ofthe pseudo—Galilean space G
1.6.1 Curves in pseudo-Galilean space
1.6.2 Bishop frames in Gi
1.7 Natural geometry of ruled surfaces in G
1.7.1 Darboux frame of a curve lying on a ruled surface in
G
1.8 Helices in G
1.9 Normal and rectifying curves in Gj
2 Spherical Indicatrices of Helices in Galilean Spaces
2.1 Introduction
2.2 Spherical images of special curves in Galilean space
2.2.1 A unit speed curve
2.2.2 Spherical curves of the position vector of an arbitrary
CUrVe
2.2.3 Bishop spherical images of an arbitrary curve
2.3 Example
2.4 Spherical curves in pseudo-Galilean space
2.4.1 Spherical indicatrices of an arbitrary curve
2.5 spherical images with Bishop frame
2.6 Spherical images with Bishop frame of a circular helix
2.7 Spherical images with Bishop frame of Salkowski curve
2.8 Spherical images with Bishop frame of Anti—Salkowski curve
2.9 Examples
3 Smarandache Curves of Helices in the Galilean 3-Space
3.1 Geonmtric prelinfinaries
3.2 Special Smarandac,he(turves in Galilean geometry
3.2.1 Smarandache curves of a unit speed curve
3.3 Relations among spherical indicatrices of SOUlC Smarandache curves
3.3.1 Smarandache curves of all arbitrary curve with respect to standard frame
3.4 Special Smarandache curves according to Darboux frame in G
3.5 Exmnples
3.6 Smaremdache curves of special curves iIl pseudo-Galilean geolnetry
3.6.1 Smarandache curves of aIl arbitrary curve
3.6.2 Special Slnarandache curves according to Darboux fraum
3.7 Exainples
4 Bertrand Curves in the Galilean and Pseudo—Galilean Spaces
4.1 Introductioll
4.2 Bertrand partner curves accoroding to Freimt fraiue
4.3 Bertrand curves according to Darboux franm in G3
4.4 Exainples
4.5 Bertrand curves ill pseudo-Oalilean geometry
4.6 Bertrand curve~according to Darboux flame in G3/1
4.7 Examples
5 Normal, Osculating and Rectifying Curves in Galilean Spaces
5.1 Introductiou
5.2 Bishop frame of the second type in G3
5.3 Associated curves according to Bishop fralne in G.
5.4 Associated curves in the pseudo-Galilean space G3/1
Bibliography
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