Abstract— In this paper, a kinematic surface using equiform motion of an astroid curve in Euclidean 3-space E3 is generated. The main results given in this paper: the surface foliated by equiform motion of astroid curve has a constant Gaussian and mean curvatures if motion of astroids is in parallel planes. Also, the geodesic curves on this surface are obtained. Additionally, special Weingarten of such surface is investigated. Finally, for some special cases new examples are constructed and plotted.
2010 Mathematics subject classification:53A10, 53A04, 53C22 and 53A17.
Keywords— Kinematic surfaces; equiform motion; Gaussian, mean and geodesic curvatures, Weingarten Surfaces.
AD Publications is a rapidly growing academic publisher in the fields of Engineering, Medical-Health, Environmental Science and Agriculture Research. AD Publications is a registered organization broad-based open access and publishes most exciting researches with respect to the subjects of our journals. The Journals is being indexed and abstracted by all major global current awareness and alerting services.
The organization aims at undertaking, co- coordinating and promoting research and development. It provides professional and academic guidance in the field of basic education, Higher Education as well in the Technical Education. Our Aims is to Promote and support, High Quality basic, Scientific Research and development in fields of Engineering, Medical-Health, Environmental Science and Agriculture Research and to Generate Public awareness, provide advice to scholar’s researchers and communicate research outcomes.